base de datos.xlsx

Geometria

Autor EspecimenSeccion L viga (mm) Seccion

1Adebar, P.; Mindess, S.; St.-Pierre, D.; and Olund, BFC1 R 1500 Rectangular 1522Adebar, P.; Mindess, S.; St.-Pierre, D.; and Olund, BFC2 R 1500 Rectangular 1523Adebar, P.; Mindess, S.; St.-Pierre, D.; and Olund, BFC3 R 1500 Rectangular 1524Adebar, P.; Mindess, S.; St.-Pierre, D.; and Olund, BFC7 R 1500 Rectangular 1525Adebar, P.; Mindess, S.; St.-Pierre, D.; and Olund, BFC8 R 1500 Rectangular 1526Adebar, P.; Mindess, S.; St.-Pierre, D.; and Olund, BFC9 R 1500 Rectangular 1527Adebar, P.; Mindess, S.; St.-Pierre, D.; and Olund, BFC10 R 1500 Rectangular 1528Adebar, P.; Mindess, S.; St.-Pierre, D.; and Olund, BFC11 R 1500 Rectangular 1529 B-2-1.0-L R 1360 Rectangular 125

10 B-4-1.0-L R 2220 Rectangular 125

11 B-6-1.0-L R 3080 Rectangular 125

12 B-1-0.5-AR 930 Rectangular 12513 B-2-0.5-AR 1360 Rectangular 12514 B-4-0.5-AR 2220 Rectangular 12515 B-6-0.5-AR 3080 Rectangular 12516 B-1-1.0-AR 930 Rectangular 12517 B-2-1.0-AR 1360 Rectangular 12518 B-4-1.0-AR 2220 Rectangular 12519 B-6-1.0-AR 3080 Rectangular 12520 B-1-1.5-AR 930 Rectangular 12521 B-2-1.5-AR 1360 Rectangular 12522 B-4-1.5-AR 2220 Rectangular 12523 B-6-1.5-AR 3080 Rectangular 12524 B-2-1.0-MR 1360 Rectangular 12525 B-4-1.0-MR 2220 Rectangular 12526 B-6-1.0-MR 3080 Rectangular 12527 Casanova, P., and Rossi HSFRC1 R Rectangular 12528 Casanova, P., and Rossi HSFRC2 R Rectangular 12529 Casanova, P., and Rossi HSFRC3 R Rectangular 12530Cucchiara, C.; Mendola, L.L.; and PapiaA00 R 2300 Rectangular 15031Cucchiara, C.; Mendola, L.L.; and PapiaA10 R 2300 Rectangular 15032Cucchiara, C.; Mendola, L.L.; and PapiaA20 R 2300 Rectangular 15033Cucchiara, C.; Mendola, L.L.; and PapiaB00 R 2300 Rectangular 15034Cucchiara, C.; Mendola, L.L.; and PapiaB10 R 2300 Rectangular 150

bw (mm) Ancho del

Alma

Ashour, S.A.; Hasanain, G.S.; and Wafa, F.FAshour, S.A.; Hasanain, G.S.; and Wafa, F.F

Ashour, S.A.; Hasanain, G.S.; and Wafa, F.F

Ashour, S.A.; Hasanain, G.S.; and Wafa, F.FAshour, S.A.; Hasanain, G.S.; and Wafa, F.FAshour, S.A.; Hasanain, G.S.; and Wafa, F.FAshour, S.A.; Hasanain, G.S.; and Wafa, F.FAshour, S.A.; Hasanain, G.S.; and Wafa, F.FAshour, S.A.; Hasanain, G.S.; and Wafa, F.FAshour, S.A.; Hasanain, G.S.; and Wafa, F.FAshour, S.A.; Hasanain, G.S.; and Wafa, F.FAshour, S.A.; Hasanain, G.S.; and Wafa, F.FAshour, S.A.; Hasanain, G.S.; and Wafa, F.FAshour, S.A.; Hasanain, G.S.; and Wafa, F.FAshour, S.A.; Hasanain, G.S.; and Wafa, F.FAshour, S.A.; Hasanain, G.S.; and Wafa, F.FAshour, S.A.; Hasanain, G.S.; and Wafa, F.FAshour, S.A.; Hasanain, G.S.; and Wafa, F.F

35Cucchiara, C.; Mendola, L.L.; and PapiaB20 R 2300 Rectangular 15036Kwak, Y.-K.; Eberhard, M.O.; KimFHB1-2 R 1248 Rectangular 12537Kwak, Y.-K.; Eberhard, M.O.; KimFHB2-2 R 1248 Rectangular 12538Kwak, Y.-K.; Eberhard, M.O.; KimFHB3-2 R 1248 Rectangular 12539Kwak, Y.-K.; Eberhard, M.O.; KimFHB1-3 R 1672 Rectangular 12540Kwak, Y.-K.; Eberhard, M.O.; KimFHB2-3 R 1672 Rectangular 12541Kwak, Y.-K.; Eberhard, M.O.; KimFHB3-3 R 1672 Rectangular 12542Kwak, Y.-K.; Eberhard, M.O.; KimFHB1-4 R 2096 Rectangular 12543Kwak, Y.-K.; Eberhard, M.O.; KimFHB2-4 R 2096 Rectangular 12544Kwak, Y.-K.; Eberhard, M.O.; KimFHB3-4 R 2096 Rectangular 12545Kwak, Y.-K.; Eberhard, M.O.; KimFHB2-2 R 1248 Rectangular 12546Kwak, Y.-K.; Eberhard, M.O.; KimFHB2-3 R 1672 Rectangular 12547Kwak, Y.-K.; Eberhard, M.O.; KimFHB2-4 R 2096 Rectangular 12548Li, V.C.; Ward, R.; and Hamza - R 1219.2 Rectangular 12749Li, V.C.; Ward, R.; and Hamza - R 1219.2 Rectangular 12750Li, V.C.; Ward, R.; and Hamza - R 1219.2 Rectangular 12751Lim, T.Y.; Paramasivam, P.; and Lee, S.L.2/0.5/1.5R Rectangular 15252Lim, T.Y.; Paramasivam, P.; and Lee, S.L.2/0.5/2.5R Rectangular 15253Lim, T.Y.; Paramasivam, P.; and Lee, S.L.2/0.5/3.5R Rectangular 15254Lim, T.Y.; Paramasivam, P.; and Lee, S.L.2/0/1.5 R Rectangular 15255Lim, T.Y.; Paramasivam, P.; and Lee, S.L.2/0/3.5 R Rectangular 15256Lim, T.Y.; Paramasivam, P.; and Lee, S.L.2/1.0/1.5R Rectangular 15257Lim, T.Y.; Paramasivam, P.; and Lee, S.L.2/1.0/2.5R Rectangular 15258Lim, T.Y.; Paramasivam, P.; and Lee, S.L.2/1.0/3.5R Rectangular 15259Lim, T.Y.; Paramasivam, P.; and Lee, S.L.4/0.5/1.5R Rectangular 15260Lim, T.Y.; Paramasivam, P.; and Lee, S.L.4/0.5/2.5R Rectangular 15261Lim, T.Y.; Paramasivam, P.; and Lee, S.L.4/0.5/3.5R Rectangular 15262Lim, T.Y.; Paramasivam, P.; and Lee, S.L.4/0/1.5 R Rectangular 15263Lim, T.Y.; Paramasivam, P.; and Lee, S.L.4/0/3.5 R Rectangular 15264Lim, T.Y.; Paramasivam, P.; and Lee, S.L.4/1.0/1.5R Rectangular 15265Lim, T.Y.; Paramasivam, P.; and Lee, S.L.4/1.0/2.5R Rectangular 15266Lim, T.Y.; Paramasivam, P.; and Lee, S.L.4/1.0/3.5R Rectangular 15267Mansur, M.A.; Ong, K.C.G.; and ParamasivamA1 R 2000 Rectangular 15268Mansur, M.A.; Ong, K.C.G.; and ParamasivamA2 R 2000 Rectangular 15269Mansur, M.A.; Ong, K.C.G.; and ParamasivamA3 R 2500 Rectangular 15270Mansur, M.A.; Ong, K.C.G.; and ParamasivamA4 R 2500 Rectangular 15271Mansur, M.A.; Ong, K.C.G.; and ParamasivamB1 R 2000 Rectangular 15272Mansur, M.A.; Ong, K.C.G.; and ParamasivamB2 R 2000 Rectangular 15273Mansur, M.A.; Ong, K.C.G.; and ParamasivamB3 R 2500 Rectangular 15274Mansur, M.A.; Ong, K.C.G.; and ParamasivamB4 R 2500 Rectangular 15275Mansur, M.A.; Ong, K.C.G.; and ParamasivamC1 R 2000 Rectangular 15276Mansur, M.A.; Ong, K.C.G.; and ParamasivamC2 R 2000 Rectangular 15277Mansur, M.A.; Ong, K.C.G.; and ParamasivamC3 R 2500 Rectangular 152

78Mansur, M.A.; Ong, K.C.G.; and ParamasivamC4 R 2500 Rectangular 15279Mansur, M.A.; Ong, K.C.G.; and ParamasivamC5 R 2000 Rectangular 15280Mansur, M.A.; Ong, K.C.G.; and ParamasivamC6 R 2000 Rectangular 15281Mansur, M.A.; Ong, K.C.G.; and ParamasivamD1 R 2000 Rectangular 15282Mansur, M.A.; Ong, K.C.G.; and ParamasivamD2 R 2000 Rectangular 15283Mansur, M.A.; Ong, K.C.G.; and ParamasivamD3 R 2500 Rectangular 15284Mansur, M.A.; Ong, K.C.G.; and ParamasivamD4 R 2500 Rectangular 15285Mansur, M.A.; Ong, K.C.G.; and ParamasivamE1 R 2000 Rectangular 15286Mansur, M.A.; Ong, K.C.G.; and ParamasivamE2 R 2000 Rectangular 15287Mansur, M.A.; Ong, K.C.G.; and ParamasivamE3 R 2000 Rectangular 15288Mansur, M.A.; Ong, K.C.G.; and ParamasivamF1 R 2000 Rectangular 15289Mansur, M.A.; Ong, K.C.G.; and ParamasivamF2 R 2000 Rectangular 15290Mansur, M.A.; Ong, K.C.G.; and ParamasivamF3 R 2000 Rectangular 15291 Noghabai, K 1 Type A R 1200 Rectangular 20092 Noghabai, K 5 Type A R 1200 Rectangular 20093 Noghabai, K 6 Type A R 1200 Rectangular 20094 Noghabai, K 9 Type A R 1200 Rectangular 20095 Noghabai, K 1 Type B R 1300 Rectangular 20096 Noghabai, K 3 Type B R 1300 Rectangular 20097 Noghabai, K 5 Type B R 1300 Rectangular 20098 Noghabai, K 1 Type C R 3000 Rectangular 20099 Noghabai, K 5 Type C R 3000 Rectangular 200

100 Noghabai, K 6 Type C R 3000 Rectangular 200101 Noghabai, K 7 Type C R 3000 Rectangular 200102 Noghabai, K 8 Type C R 3000 Rectangular 200103 Noghabai, K 9 Type C R 3000 Rectangular 200104 Noghabai, K 10 Type CR 3000 Rectangular 200105 Noghabai, K 3 Type D R 5000 Rectangular 300106 Noghabai, K 4 Type D R 5000 Rectangular 300107Rosenbusch, J., and Teutsch, M. 1.2/1 R 1800 Rectangular 200108Rosenbusch, J., and Teutsch, M. 1.2/2 R 1800 Rectangular 200109Rosenbusch, J., and Teutsch, M. 1.2/3 R 1800 Rectangular 200110Rosenbusch, J., and Teutsch, M. 1.2/4 R 1800 Rectangular 200111Rosenbusch, J., and Teutsch, M. 2.2/1 R 2300 Rectangular 200112Rosenbusch, J., and Teutsch, M. 2.2/2 R 2300 Rectangular 200113Rosenbusch, J., and Teutsch, M. 2.2/3 R 2300 Rectangular 200114Rosenbusch, J., and Teutsch, M. 2.3/1 R 2300 Rectangular 200115Rosenbusch, J., and Teutsch, M. 2.3/2 R 2300 Rectangular 200116Rosenbusch, J., and Teutsch, M. 2.3/3 R 2300 Rectangular 200117Rosenbusch, J., and Teutsch, M. 2.4/1 R 2300 Rectangular 200118Rosenbusch, J., and Teutsch, M. 2.4/2 R 2300 Rectangular 200119Rosenbusch, J., and Teutsch, M. 2.4/3 R 2300 Rectangular 200120Rosenbusch, J., and Teutsch, M. 2.6/1 R 2300 Rectangular 200

121Rosenbusch, J., and Teutsch, M. 2.6/2 R 2300 Rectangular 200122Rosenbusch, J., and Teutsch, M. 2.6/3 R 2300 Rectangular 200123Rosenbusch, J., and Teutsch, M.20x30-Plain-1R 2200 Rectangular 200124Rosenbusch, J., and Teutsch, M.20x30-SFRC-1R 2200 Rectangular 200125Rosenbusch, J., and Teutsch, M.20X45-SFRC-1R 2200 Rectangular 200126Rosenbusch, J., and Teutsch, M.20X60-Plain-1R 2200 Rectangular 200127Rosenbusch, J., and Teutsch, M.20x60-SFRC-1R 2200 Rectangular 200128Rosenbusch, J., and Teutsch, M.T10x50-SFRC-1R 2200 T 200129Rosenbusch, J., and Teutsch, M.T15x50-SFRC-1R 3400 T 200130Rosenbusch, J., and Teutsch, M.T15x75-SFRC-1R 3400 T 200131Rosenbusch, J., and Teutsch, M.T15x100-Plain-1R 3400 T 200132Rosenbusch, J., and Teutsch, M.T15x100-SFRC-1R 3400 T 200133Rosenbusch, J., and Teutsch, M.20x30-SFRC-2R 2200 Rectangular 200134Rosenbusch, J., and Teutsch, M.20x50-SFRC-2R 3400 Rectangular 200135Rosenbusch, J., and Teutsch, M.20x60-SFRC-2R 2200 Rectangular 200136Rosenbusch, J., and Teutsch, M.T10x50-SFRC-2R 3400 T 200137Rosenbusch, J., and Teutsch, M.T15x50-SFRC-2R 3400 T 200138Rosenbusch, J., and Teutsch, M.T23x50-SFRC-2R 3400 T 200139 Sharma, A.K., S1 R 1600 Rectangular 150140 Sharma, A.K., S2 R 1600 Rectangular 150141 Sharma, A.K., S3F R 1600 Rectangular 150142 Parra-Montesinos, G.; Wight, B18-0a R 2134 Rectangular 152143 Parra-Montesinos, G.; Wight, B18-0b R 2134 Rectangular 152144 Parra-Montesinos, G.; Wight, B18-1a R 2134 Rectangular 152145 Parra-Montesinos, G.; Wight, B18-1b R 2134 Rectangular 152146 Parra-Montesinos, G.; Wight, B18-2a R 2235 Rectangular 152147 Parra-Montesinos, G.; Wight, B18-2b R 2134 Rectangular 152148 Parra-Montesinos, G.; Wight, B18-2c R 2134 Rectangular 152149 Parra-Montesinos, G.; Wight, B18-2d R 2134 Rectangular 152150 Parra-Montesinos, G.; Wight, B18-3a R 2134 Rectangular 152151 Parra-Montesinos, G.; Wight, B18-3b R 2134 Rectangular 152152 Parra-Montesinos, G.; Wight, B18-3c R 2134 Rectangular 152153 Parra-Montesinos, G.; Wight, B18-3d R 2134 Rectangular 152154 Parra-Montesinos, G.; Wight, B18-5a R 2134 Rectangular 152155 Parra-Montesinos, G.; Wight, B18-5b R 2134 Rectangular 152156 Parra-Montesinos, G.; Wight, B18-7a R 2134 Rectangular 152157 Parra-Montesinos, G.; Wight, B18-7b R 2134 Rectangular 152158 Parra-Montesinos, G.; Wight, B27-1a R 3555 Rectangular 203159 Parra-Montesinos, G.; Wight, B27-1b R 3555 Rectangular 203160 Parra-Montesinos, G.; Wight, B27-2a R 3555 Rectangular 203161 Parra-Montesinos, G.; Wight, B27-2b R 3555 Rectangular 203162 Parra-Montesinos, G.; Wight, B27-3a R 3555 Rectangular 203163 Parra-Montesinos, G.; Wight, B27-3b R 3555 Rectangular 203

164 Parra-Montesinos, G.; Wight, B27-4a R 3555 Rectangular 203165 Parra-Montesinos, G.; Wight, B27-4b R 3555 Rectangular 203166 Parra-Montesinos, G.; Wight, B27-5 R 3555 Rectangular 203167 Parra-Montesinos, G.; Wight, B27-6 R 3555 Rectangular 203168 Parra-Montesinos, G.; Wight, B27-7 R 3555 Rectangular 203169 Swamy, R.N.; Jones, R.; and 1TL-1 (5.2xR 3000 T 55170 Swamy, R.N.; Jones, R.; and 1TLF-1 (5.2R 3000 T 55171 Swamy, R.N.; Jones, R.; and 1TL-2 (5.2xR 3000 T 55172 Swamy, R.N.; Jones, R.; and 1TLF-2 (5.2R 3000 T 55173 Swamy, R.N.; Jones, R.; and 1TL-3 (5.2xR 3000 T 55174 Swamy, R.N.; Jones, R.; and 1TLF-3 (5.2R 3000 T 55175 Swamy, R.N.; Jones, R.; and 2TL-1 (5.2xR 3000 T 55176 Swamy, R.N.; Jones, R.; and 2TLF-1 (5.2R 3000 T 55177 Swamy, R.N.; Jones, R.; and 2TL-2 (5.2xR 3000 T 55178 Swamy, R.N.; Jones, R.; and 2TLF-2 (5.2R 3000 T 55179 Swamy, R.N.; Jones, R.; and 2TL-3 (5.2xR 3000 T 55180 Swamy, R.N.; Jones, R.; and 2TLF-3 (5.2R 3000 T 55181 Swamy, R.N.; Jones, R.; and 3TL-1 (5.2xR 3000 T 55182 Swamy, R.N.; Jones, R.; and 3TLF-1 (5.2R 3000 T 55183 Swamy, R.N.; Jones, R.; and 3TL-2 (5.2xR 3000 T 55184 Swamy, R.N.; Jones, R.; and 3TLF-2 (5.2R 3000 T 55185 Swamy, R.N.; Jones, R.; and 3TL-3 (5.2xR 3000 T 55186 Swamy, R.N.; Jones, R.; and 3TLF-3 (5.2R 3000 T 55

Schantz, B.A. Buscar

vigas T

401.815553252223

Geometria

d (mm) s (mm) a (in) a (mm)

0 610 0 558 - 36 914.40 610 0 558 - 36 914.40 610 0 558 - 36 914.40 610 0 558 - 36 914.40 610 0 558 - 36 914.40 610 0 558 - 36 914.40 610 0 558 - 36 914.40 610 0 558 - 36 914.40 250 0 215 16.9 429.260 250 0 215 33.9 861.06

0 250 0 215 50.8 1290.32

0 250 0 215 8.5 215.90 250 0 215 16.9 429.260 250 0 215 33.9 861.060 250 0 215 50.8 1290.320 250 0 215 8.5 215.90 250 0 215 16.9 429.260 250 0 215 33.9 861.060 250 0 215 50.8 1290.320 250 0 215 8.5 215.90 250 0 215 16.9 429.260 250 0 215 33.9 861.060 250 0 215 50.8 1290.320 250 0 215 16.9 429.260 250 0 215 33.9 861.060 250 0 215 50.8 1290.320 250 0 225 650.240 250 0 225 650.240 250 0 225 650.240 250 0 219 24 609.60 250 0 219 24 609.60 250 0 219 24 609.60 250 0 219 431.80 250 0 219 431.8

bf (mm) Ancho de las

alas Th (mm) de

toda la vigahf (mm) alto de la alas T

0 250 0 219 431.80 250 0 212 16.8 426.720 250 0 212 16.8 426.720 250 0 212 16.8 426.720 250 0 212 25.1 637.540 250 0 212 25.1 637.540 250 0 212 25.1 637.540 250 0 212 33.5 850.90 250 0 212 33.5 850.90 250 0 212 33.5 850.90 250 0 212 16.8 426.720 250 0 212 25.1 637.540 250 0 212 33.5 850.90 229 0 203 24 609.60 229 0 203 24 609.60 229 0 203 24 609.60 254 0 221 13 330.20 254 0 221 22 558.80 254 0 221 30 7620 254 0 221 13 330.20 254 0 221 30 7620 254 0 221 13 330.20 254 0 221 22 558.80 254 0 221 30 7620 254 0 221 13 330.20 254 0 221 22 558.80 254 0 221 30 7620 254 0 221 13 330.20 254 0 221 30 7620 254 0 221 13 330.20 254 0 221 22 558.80 254 0 221 30 7620 229 0 197 15.5 393.70 229 0 197 21.7 551.180 229 0 197 27.9 708.660 229 0 197 34.1 866.140 229 0 197 15.5 393.70 229 0 197 21.7 551.180 229 0 197 27.9 708.660 229 0 197 34.1 866.140 229 0 197 15.5 393.70 229 0 197 21.7 551.180 229 0 197 27.9 708.66

0 229 0 197 34.1 866.140 229 0 200 22 558.80 229 0 197 21.7 551.180 229 0 197 15.5 393.70 229 0 197 21.7 551.180 229 0 197 27.9 708.660 229 0 197 34.1 866.140 229 0 200 22 558.80 229 0 197 21.7 551.180 229 0 197 21.7 551.180 229 0 200 22 558.80 229 0 197 21.7 551.180 229 0 197 21.7 551.180 250 0 180 6000 250 0 180 6000 250 0 180 6000 250 0 195 6000 300 0 235 6500 300 0 235 6500 300 0 235 6500 500 0 410 12000 500 0 410 12000 500 0 410 12000 500 0 410 12000 500 0 410 12000 500 0 410 12000 500 0 410 12000 700 0 570 17000 700 0 570 17000 300 0 260 35.4 899.160 300 0 260 35.4 899.160 300 0 260 35.4 899.160 300 0 260 35.4 899.160 300 0 260 15.8 401.320 300 0 260 15.8 401.320 300 0 260 15.8 401.320 300 0 262 25.6 650.240 300 0 262 25.6 650.240 300 0 262 25.6 650.240 300 0 260 25.6 650.240 300 0 260 25.6 650.240 300 0 260 25.6 650.240 300 0 260 41.4 1051.56

0 300 0 260 41.4 1051.560 300 0 260 41.4 1051.560 300 0 260 35.8 909.320 300 0 260 35.8 909.320 450 0 410 53.9 1369.060 600 0 540 74.4 1889.760 600 0 540 74.4 1889.76

1 500 500 100 460 61 1549.42 500 500 150 460 61 1549.43 750 500 150 460 61 1549.44 1000 500 150 460 61 1549.45 1000 500 150 460 61 1549.4

0 300 0 260 35.8 909.320 500 0 460 61 1549.40 600 0 540 74.4 1889.76

6 500 500 100 460 61 1549.47 500 500 150 460 61 1549.48 500 500 230 460 61 1549.4

0 305 0 276 20 5080 305 0 276 20 5080 305 0 276 20 5080 457 0 381 1306.830 457 0 381 1306.830 457 0 381 1306.830 457 0 381 1306.830 457 0 381 1333.50 457 0 381 1333.50 457 0 381 1333.50 457 0 381 1333.50 457 0 381 1306.830 457 0 381 1306.830 457 0 381 1306.830 457 0 381 1306.830 457 0 381 1306.830 457 0 381 1306.830 457 0 381 1306.830 457 0 381 1306.830 686 0 610 21350 686 0 610 21350 686 0 610 21350 686 0 610 21350 686 0 610 21350 686 0 610 2135

0 686 0 610 21350 686 0 610 21350 686 0 610 21350 686 0 610 21350 686 0 610 2135

9 295 300 52 265 20.9 530.8610 295 300 52 265 20.9 530.8611 295 300 52 265 35.8 909.3212 295 300 52 265 35.8 909.3213 295 300 52 265 51.2 1300.4814 295 300 52 265 51.2 1300.4815 295 300 52 265 20.9 530.8616 295 300 52 265 20.9 530.8617 295 300 52 265 35.8 909.3218 295 300 52 265 35.8 909.3219 295 300 52 265 51.2 1300.4820 295 300 52 265 51.2 1300.4821 295 300 52 265 20.9 530.8622 295 300 52 265 20.9 530.8623 295 300 52 265 35.8 909.3224 295 300 52 265 35.8 909.3225 295 300 52 265 52.2 1325.8826 295 300 52 265 52.2 1325.88

000

00000000000

00

000000000

00000000000000000000000000000000

0000000000000000000000000000000000000000000

00000000000000000000000000000000000000

a/d fc cylinder (ksi) fc cylinder (Mpa) fc cubic (Mpa)

1.638709677 52 60 63.16 2.921.638709677 46.1 54.1 60.11 2.921.638709677 41.9 49.9 55.44 2.921.638709677 49 57 63.33 2.921.638709677 46.8 54.8 60.89 2.921.638709677 48.5 56.5 62.78 2.921.638709677 38.9 46.9 52.11 2.921.638709677 32.8 40.8 45.33 2.921.99655814 84 92 96.84 0.16

4.004930233 84.6 92.6 97.47 0.16

6.001488372 85.7 93.7 98.63 0.16

1.004186047 91 99 104.21 1.21.99655814 91.1 99.1 104.32 1.2

4.004930233 87.4 95.4 100.42 1.26.001488372 87.8 95.8 100.84 1.21.004186047 87.3 95.3 100.32 1.21.99655814 87.3 95.3 100.32 1.2

4.004930233 89.5 97.5 102.63 1.26.001488372 92.5 100.5 105.79 1.21.004186047 88.4 96.4 101.47 1.21.99655814 88.6 96.6 101.68 1.2

4.004930233 89.1 97.1 102.21 1.26.001488372 93.3 101.3 106.63 1.21.99655814 86.5 94.5 99.47 1.94

4.004930233 85.8 93.8 98.74 1.946.001488372 87 95 100.00 1.942.889955556 82 90 94.74 1.582.889955556 82 90 94.74 1.582.889955556 82 90 94.74 0.982.783561644 33.2 41.2 45.78 0.972.783561644 32.9 40.9 45.44 0.972.783561644 35.2 43.2 48.00 0.971.971689498 33.2 41.2 45.78 0.971.971689498 32.9 40.9 45.44 0.97

fck (resistencia caracteristica)Mpa As in²)

1.971689498 35.2 43.2 48.00 0.972.012830189 54.6 62.6 65.89 0.622.012830189 55.8 63.8 67.16 0.622.012830189 60.6 68.6 72.21 0.623.007264151 54.6 62.6 65.89 0.623.007264151 55.8 63.8 67.16 0.623.007264151 60.6 68.6 72.21 0.624.013679245 54.6 62.6 65.89 0.624.013679245 55.8 63.8 67.16 0.624.013679245 60.6 68.6 72.21 0.622.012830189 22.8 30.8 34.22 0.623.007264151 22.8 30.8 34.22 0.624.013679245 22.8 30.8 34.22 0.623.002955665 9.8 17.8 19.78 0.883.002955665 14.7 22.7 25.22 0.883.002955665 18 26 28.89 0.881.494117647 25.9911622978026 4.93 33.9911622978 37.77 0.622.528506787 25.9911622978026 4.93 33.9911622978 37.77 0.623.447963801 25.9911622978026 4.93 33.9911622978 37.77 0.621.494117647 25.9911622978026 4.93 33.9911622978 37.77 0.623.447963801 25.9911622978026 4.93 33.9911622978 37.77 0.621.494117647 25.9911622978026 4.93 33.9911622978 37.77 0.622.528506787 25.9911622978026 4.93 33.9911622978 37.77 0.623.447963801 25.9911622978026 4.93 33.9911622978 37.77 0.621.494117647 25.9911622978026 4.93 33.9911622978 37.77 1.252.528506787 25.9911622978026 4.93 33.9911622978 37.77 1.253.447963801 25.9911622978026 4.93 33.9911622978 37.77 1.251.494117647 25.9911622978026 4.93 33.9911622978 37.77 1.253.447963801 25.9911622978026 4.93 33.9911622978 37.77 1.251.494117647 25.9911622978026 4.93 33.9911622978 37.77 1.252.528506787 25.9911622978026 4.93 33.9911622978 37.77 1.253.447963801 25.9911622978026 4.93 33.9911622978 37.77 1.251.998477157 16.2 24.2 26.89 0.622.79786802 16.2 24.2 26.89 0.62

3.597258883 16.2 24.2 26.89 0.624.396649746 16.2 24.2 26.89 0.621.998477157 21.1 29.1 32.33 0.622.79786802 21.1 29.1 32.33 0.62

3.597258883 21.1 29.1 32.33 0.624.396649746 21.1 29.1 32.33 0.621.998477157 21.9 29.9 33.22 0.622.79786802 21.9 29.9 33.22 0.62

3.597258883 21.9 29.9 33.22 0.62

4.396649746 21.9 29.9 33.22 0.622.794 21.9 29.9 33.22 0.37

2.79786802 21.9 29.9 33.22 0.931.998477157 22 30 33.33 0.622.79786802 22 30 33.33 0.62

3.597258883 22 30 33.33 0.624.396649746 22 30 33.33 0.62

2.794 12.6 20.6 22.89 0.372.79786802 12.6 20.6 22.89 0.622.79786802 12.6 20.6 22.89 0.93

2.794 25.4 33.4 37.11 0.372.79786802 25.4 33.4 37.11 0.622.79786802 25.4 33.4 37.11 0.93

3.333333333 82.9 90.9 95.68 2.513.333333333 83.4 91.4 96.21 2.513.333333333 83.4 91.4 96.21 2.513.076923077 36.8 44.8 49.78 1.872.765957447 89 97 102.11 3.132.765957447 95.8 103.8 109.26 3.132.765957447 93.8 101.8 107.16 3.132.926829268 71.1 79.1 83.26 3.812.926829268 73.8 81.8 86.11 3.812.926829268 73.8 81.8 86.11 3.812.926829268 70.7 78.7 82.84 3.812.926829268 70.7 78.7 82.84 3.812.926829268 60.4 68.4 72.00 3.812.926829268 78 86 90.53 3.812.98245614 73.8 81.8 86.11 7.692.98245614 60.4 68.4 72.00 7.69

3.458307692 36 44 48.89 2.873.458307692 38.9 46.9 52.11 2.873.458307692 35.7 43.7 48.56 2.873.458307692 40.3 48.3 53.67 2.871.543538462 32.8 40.8 45.33 1.461.543538462 33.2 41.2 45.78 1.461.543538462 32.3 40.3 44.78 1.462.481832061 32.1 40.1 44.56 0.932.481832061 32 40 44.44 0.932.481832061 30.7 38.7 43.00 0.932.500923077 32.1 40.1 44.56 1.462.500923077 32 40 44.44 1.462.500923077 30.7 38.7 43.00 1.464.044461538 32.8 40.8 45.33 1.46

4.044461538 33.2 41.2 45.78 1.464.044461538 32.3 40.3 44.78 1.463.497384615 24.1 32.1 35.67 2.283.497384615 29.7 37.7 41.89 2.283.339170732 29.7 37.7 41.89 3.913.499555556 24.1 32.1 35.67 4.573.499555556 29.7 37.7 41.89 4.573.36826087 29.7 37.7 41.89 3.743.36826087 29.7 37.7 41.89 3.743.36826087 29.7 37.7 41.89 3.743.36826087 24.1 32.1 35.67 3.743.36826087 29.7 37.7 41.89 3.74

3.497384615 30.8 38.8 43.11 2.283.36826087 30.8 38.8 43.11 3.74

3.499555556 30.8 38.8 43.11 4.573.36826087 30.8 38.8 43.11 3.743.36826087 30.8 38.8 43.11 3.743.36826087 30.8 38.8 43.11 3.741.84057971 34.3 42.3 47.00 0.931.84057971 35.2 43.2 48.00 0.931.84057971 40.6 48.6 54.00 0.93

3.43 34.8 42.8 47.56 2.43.43 34.8 42.8 47.56 2.43.43 36.8 44.8 49.78 1.763.43 36.8 44.8 49.78 1.763.5 30.1 38.1 42.33 1.763.5 30.1 38.1 42.33 1.763.5 30.1 38.1 42.33 2.43.5 30.1 38.1 42.33 2.4

3.43 23 31 34.44 2.43.43 23 31 34.44 2.43.43 36.9 44.9 49.89 2.43.43 36.9 44.9 49.89 2.43.43 41.2 49.2 54.67 2.43.43 41.2 49.2 54.67 2.43.43 35.3 43.3 48.11 1.763.43 35.3 43.3 48.11 1.763.5 42.8 50.8 56.44 1.763.5 42.8 50.8 56.44 1.763.5 20.7 28.7 31.89 1.763.5 20.7 28.7 31.89 1.763.5 34.3 42.3 47.00 1.43.5 34.3 42.3 47.00 1.4

3.5 21.6 29.6 32.89 1.43.5 21.6 29.6 32.89 1.43.5 36.4 44.4 49.33 1.8483.5 34.8 42.8 47.56 1.8483.5 29 37 41.11 1.4

2.003245283 27.4 35.4 39.33 0.982.003245283 27.6 35.6 39.56 0.983.431396226 25.6 33.6 37.33 0.983.431396226 32.9 40.9 45.44 0.984.907471698 26.1 34.1 37.89 0.984.907471698 28 36 40.00 0.982.003245283 28.5 36.5 40.56 0.632.003245283 29.8 37.8 42.00 0.633.431396226 25.4 33.4 37.11 0.633.431396226 25.1 33.1 36.78 0.634.907471698 28.1 36.1 40.11 0.634.907471698 27.9 35.9 39.89 0.632.003245283 29.4 37.4 41.56 0.352.003245283 27.7 35.7 39.67 0.353.431396226 24.8 32.8 36.44 0.353.431396226 26.5 34.5 38.33 0.355.003320755 25.8 33.8 37.56 0.355.003320755 24.5 32.5 36.11 0.35

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As' (in²)

1883.8672 1883.8672 0 4.18 4.491883.8672 1883.8672 0 3.86 4.271883.8672 1883.8672 0 3.62 4.071883.8672 1883.8672 0 4.02 4.381883.8672 1883.8672 0 3.90 4.291883.8672 1883.8672 0 3.99 4.361883.8672 1883.8672 0 3.44 3.901883.8672 1883.8672 0 3.07 3.56103.2256 0 0 5.32 5.56

103.2256 0 0 5.33 5.58

103.2256 0 0 5.37 5.61

774.192 0 0 5.53 5.77774.192 0 0 5.54 5.77

774.192 0 0 5.42 5.67774.192 0 0 5.43 5.68774.192 0 0 5.42 5.66774.192 0 0 5.42 5.66774.192 0 0 5.49 5.73

774.192 0 0 5.58 5.81774.192 0 0 5.45 5.69774.192 0 0 5.46 5.70

774.192 0 0 5.47 5.72774.192 0 0 5.60 5.84

1251.6104 0 0 5.39 5.641251.6104 0 0 5.37 5.621251.6104 0 0 5.41 5.651019.3528 0 5.25 5.501019.3528 0 5.25 5.50632.2568 0 5.25 5.50625.8052 0 0 3.10 3.58625.8052 0 0 3.08 3.56625.8052 0 0 3.22 3.69625.8052 0 0 3.10 3.58625.8052 0 0 3.08 3.56

Area de Refuerzo Traccion

Longitudinal As (mm²)

Area de Refuerzo Compresion

Longitudinal As' (mm²)

Armadura Tranversal

fctK,m, teor EC-2 (MPa),Caracteristico fct,m, teor EC-2 (MPa)

625.8052 0 0 3.22 3.69399.9992 0 0 4.29 4.59399.9992 0 0 4.33 4.63399.9992 0 0 4.52 4.80399.9992 0 0 4.29 4.59399.9992 0 0 4.33 4.63399.9992 0 0 4.52 4.80399.9992 0 0 4.29 4.59399.9992 0 0 4.33 4.63399.9992 0 0 4.52 4.80399.9992 0 0 2.41 2.95399.9992 0 0 2.41 2.95399.9992 0 0 2.41 2.95567.7408 0 0 1.37 2.05567.7408 0 0 1.80 2.41567.7408 0 0 2.06 2.63399.9992 0.24 154.8384 2.63 3.15399.9992 0.24 154.8384 2.63 3.15399.9992 0.24 154.8384 2.63 3.15399.9992 0.24 154.8384 2.63 3.15399.9992 0.24 154.8384 2.63 3.15399.9992 0.24 154.8384 2.63 3.15399.9992 0.24 154.8384 2.63 3.15399.9992 0.24 154.8384 2.63 3.15

806.45 0.24 154.8384 2.63 3.15806.45 0.24 154.8384 2.63 3.15806.45 0.24 154.8384 2.63 3.15806.45 0.24 154.8384 2.63 3.15806.45 0.24 154.8384 2.63 3.15806.45 0.24 154.8384 2.63 3.15806.45 0.24 154.8384 2.63 3.15806.45 0.24 154.8384 2.63 3.15

399.9992 0 0 1.92 2.51399.9992 0 0 1.92 2.51399.9992 0 0 1.92 2.51399.9992 0 0 1.92 2.51399.9992 0 0 2.29 2.84399.9992 0 0 2.29 2.84399.9992 0 0 2.29 2.84399.9992 0 0 2.29 2.84399.9992 0 0 2.35 2.89399.9992 0 0 2.35 2.89399.9992 0 0 2.35 2.89

399.9992 0 0 2.35 2.89238.7092 0 0 2.35 2.89599.9988 0 0 2.35 2.89399.9992 0 0 2.36 2.90399.9992 0 0 2.36 2.90399.9992 0 0 2.36 2.90399.9992 0 0 2.36 2.90238.7092 0 0 1.62 2.25399.9992 0 0 1.62 2.25599.9988 0 0 1.62 2.25238.7092 0 0 2.59 3.11399.9992 0 0 2.59 3.11599.9988 0 0 2.59 3.11

1619.3516 0 0 5.28 5.531619.3516 0 0 5.30 5.541619.3516 0 0 5.30 5.541206.4492 0 0 3.32 3.782019.3508 0.24 154.8384 0 5.47 5.712019.3508 0.24 154.8384 0 5.68 5.912019.3508 0.24 154.8384 0 5.62 5.852458.0596 0.62 399.9992 0 4.89 5.162458.0596 0.62 399.9992 0 4.98 5.252458.0596 0.62 399.9992 0 4.98 5.252458.0596 0.62 399.9992 0 4.88 5.152458.0596 0.62 399.9992 0 4.88 5.152458.0596 0.62 399.9992 0 4.51 4.802458.0596 0.62 399.9992 0 5.12 5.384961.2804 0.62 399.9992 0 4.98 5.254961.2804 0.62 399.9992 0 4.51 4.801851.6092 0 0 3.27 3.741851.6092 0 0 3.44 3.901851.6092 0 0 3.25 3.721851.6092 0 0 3.53 3.98941.9336 0 0 3.07 3.56941.9336 0 0 3.10 3.58941.9336 0 0 3.04 3.53599.9988 0 0 3.03 3.51599.9988 0 0 3.02 3.51599.9988 0 0 2.94 3.43941.9336 0 0 3.03 3.51941.9336 0 0 3.02 3.51941.9336 0 0 2.94 3.43941.9336 0 0 3.07 3.56

941.9336 0 0 3.10 3.58941.9336 0 0 3.04 3.53

1470.9648 0 0 2.50 3.031470.9648 0 0 2.88 3.372522.5756 0 0 2.88 3.372948.3812 0 0 2.50 3.032948.3812 0 0 2.88 3.372412.8984 0 0 2.88 3.372412.8984 0 0 2.88 3.372412.8984 0 0 2.88 3.372412.8984 0 0 2.50 3.032412.8984 0 0 2.88 3.371470.9648 0 0 2.95 3.442412.8984 0 0 2.95 3.442948.3812 0 0 2.95 3.442412.8984 0 0 2.95 3.442412.8984 0 0 2.95 3.442412.8984 0 0 2.95 3.44599.9988 0.1 64.516 3.17 3.64599.9988 0.1 64.516 3.22 3.69599.9988 0.1 64.516 3.54 4.001548.384 0.4 258.064 0 3.20 3.671548.384 0.4 258.064 0 3.20 3.67

1135.4816 0.4 258.064 0 3.32 3.781135.4816 0.4 258.064 0 3.32 3.781135.4816 0.4 258.064 0 2.90 3.401135.4816 0.4 258.064 0 2.90 3.401548.384 0.4 258.064 0 2.90 3.401548.384 0.4 258.064 0 2.90 3.401548.384 0.4 258.064 0 2.43 2.961548.384 0.4 258.064 0 2.43 2.961548.384 0.4 258.064 0 3.33 3.791548.384 0.4 258.064 0 3.33 3.791548.384 0.4 258.064 0 3.58 4.031548.384 0.4 258.064 0 3.58 4.03

1135.4816 0.4 258.064 0 3.23 3.701135.4816 0.4 258.064 0 3.23 3.701135.4816 0.4 258.064 0 3.67 4.131135.4816 0.4 258.064 0 3.67 4.131135.4816 0.4 258.064 0 2.26 2.811135.4816 0.4 258.064 0 2.26 2.81

903.224 0.4 258.064 0 3.17 3.64903.224 0.4 258.064 0 3.17 3.64

903.224 0.4 258.064 0 2.33 2.87903.224 0.4 258.064 0 2.33 2.87

1192.25568 0.4 258.064 0 3.30 3.761192.25568 0.4 258.064 0 3.20 3.67

903.224 0.4 258.064 0 2.83 3.33632.2568 0 0 2.73 3.23632.2568 0 0 2.74 3.25632.2568 0 0 2.61 3.12632.2568 0 0 3.08 3.56632.2568 0 0 2.64 3.15632.2568 0 0 2.77 3.27406.4508 0 0 2.80 3.30406.4508 0 0 2.88 3.38406.4508 0 0 2.59 3.11406.4508 0 0 2.57 3.09406.4508 0 0 2.77 3.28406.4508 0 0 2.76 3.26225.806 0 0 2.86 3.36225.806 0 0 2.75 3.25225.806 0 0 2.55 3.07225.806 0 0 2.67 3.18225.806 0 0 2.62 3.14225.806 0 0 2.53 3.06

0 00 00 0

0 00 00 00 00 00 00 00 00 00 00 0

0 00 0

0 00 00 00 00 00 00 00 00 0

0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 0

0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 0

0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 0

fyk longitudinal

2.12 0.022 0.022 0.000 0.0002.12 0.022 0.022 0.000 0.0002.12 0.022 0.022 0.000 0.0002.12 0.022 0.022 0.000 0.0002.12 0.022 0.022 0.000 0.0002.12 0.022 0.022 0.000 0.0002.12 0.022 0.022 0.000 0.0002.12 0.022 0.022 0.000 0.0000.37 0.004 0.000 0.000 434.7830.37 0.004 0.000 0.000 434.783

0.37 0.004 0.000 0.000 434.783

2.84 0.029 0.000 0.000 400.0002.84 0.029 0.000 0.000 400.0002.84 0.029 0.000 0.000 400.0002.84 0.029 0.000 0.000 400.0002.84 0.029 0.000 0.000 400.0002.84 0.029 0.000 0.000 400.0002.84 0.029 0.000 0.000 400.0002.84 0.029 0.000 0.000 400.0002.84 0.029 0.000 0.000 400.0002.84 0.029 0.000 0.000 400.0002.84 0.029 0.000 0.000 400.0002.84 0.029 0.000 0.000 400.0004.58 0.047 0.000 0.000 408.6964.58 0.047 0.000 0.000 408.6964.58 0.047 0.000 0.000 408.6963.57 0.036 0.000 0.000 0.0003.57 0.036 0.000 0.000 0.0002.21 0.022 0.000 0.000 0.0001.92 0.019 0.000 0.000 530.4351.92 0.019 0.000 0.000 530.4351.92 0.019 0.000 0.000 530.4351.92 0.019 0.000 0.000 530.4351.92 0.019 0.000 0.000 530.435

ρl (% cuantia) traccion

ρl en refuerzo a traccion

ρl en refuerzo a compresion

ρw refuerzo transversal

1.92 0.019 0.000 0.000 530.4351.48 0.015 0.000 0.000 384.3481.48 0.015 0.000 0.000 384.3481.48 0.015 0.000 0.000 384.3481.48 0.015 0.000 0.000 384.3481.48 0.015 0.000 0.000 384.3481.48 0.015 0.000 0.000 384.3481.48 0.015 0.000 0.000 384.3481.48 0.015 0.000 0.000 384.3481.48 0.015 0.000 0.000 384.3481.48 0.015 0.000 0.000 384.3481.48 0.015 0.000 0.000 384.3481.48 0.015 0.000 0.000 384.3482.20 0.022 0.000 0.000 0.0002.20 0.022 0.000 0.000 0.0002.20 0.022 0.000 0.000 0.0001.19 0.012 0.005 0.000 0.0001.19 0.012 0.005 0.000 0.0001.19 0.012 0.005 0.000 0.0001.19 0.012 0.005 0.000 0.0001.19 0.012 0.005 0.000 0.0001.19 0.012 0.005 0.000 0.0001.19 0.012 0.005 0.000 0.0001.19 0.012 0.005 0.000 0.0001.19 0.024 0.005 0.000 0.0001.19 0.024 0.005 0.000 0.0001.19 0.024 0.005 0.000 0.0002.39 0.024 0.005 0.000 0.0002.39 0.024 0.005 0.000 0.0002.39 0.024 0.005 0.000 0.0002.39 0.024 0.005 0.000 0.0002.39 0.024 0.005 0.000 0.0001.34 0.013 0.000 0.000 0.0001.34 0.013 0.000 0.000 0.0001.34 0.013 0.000 0.000 0.0001.34 0.013 0.000 0.000 0.0001.34 0.013 0.000 0.000 0.0001.34 0.013 0.000 0.000 0.0001.34 0.013 0.000 0.000 0.0001.34 0.013 0.000 0.000 0.0001.34 0.013 0.000 0.000 0.0001.34 0.013 0.000 0.000 0.0001.34 0.013 0.000 0.000 0.000

1.34 0.013 0.000 0.000 0.0000.79 0.008 0.000 0.000 0.0002.00 0.020 0.000 0.000 0.0001.34 0.013 0.000 0.000 0.0001.34 0.013 0.000 0.000 0.0001.34 0.013 0.000 0.000 0.0001.34 0.013 0.000 0.000 0.0000.79 0.008 0.000 0.000 0.0001.34 0.013 0.000 0.000 0.0002.00 0.020 0.000 0.000 0.0000.79 0.008 0.000 0.000 0.0001.34 0.013 0.000 0.000 0.0002.00 0.020 0.000 0.000 0.0004.50 0.045 0.000 0.000 513.0434.50 0.045 0.000 0.000 513.0434.50 0.045 0.000 0.000 513.0433.10 0.031 0.000 0.000 513.0434.30 0.043 0.003 0.000 434.7834.30 0.043 0.003 0.000 434.7834.30 0.043 0.003 0.000 434.7833.00 0.030 0.005 0.000 513.0433.00 0.030 0.005 0.000 513.0433.00 0.030 0.005 0.000 513.0433.00 0.030 0.005 0.000 513.0433.00 0.030 0.005 0.000 513.0433.00 0.030 0.005 0.000 513.0433.00 0.030 0.005 0.000 513.0432.90 0.029 0.002 0.000 513.0432.90 0.029 0.002 0.000 513.0433.56 0.036 0.000 0.000 591.3043.56 0.036 0.000 0.000 591.3043.56 0.036 0.000 0.000 591.3043.56 0.036 0.000 0.000 591.3041.81 0.018 0.000 0.000 #VALUE!1.81 0.018 0.000 0.000 #VALUE!1.81 0.018 0.000 0.000 #VALUE!1.15 0.011 0.000 0.000 #VALUE!1.15 0.011 0.000 0.000 #VALUE!1.15 0.011 0.000 0.000 #VALUE!1.81 0.018 0.000 0.000 #VALUE!1.81 0.018 0.000 0.000 #VALUE!1.81 0.018 0.000 0.000 #VALUE!1.81 0.018 0.000 0.000 #VALUE!

1.81 0.018 0.000 0.000 #VALUE!1.81 0.018 0.000 0.000 #VALUE!2.83 0.028 0.000 0.000 #VALUE!2.83 0.028 0.000 0.000 #VALUE!3.08 0.031 0.000 0.000 #VALUE!2.73 0.027 0.000 0.000 #VALUE!2.73 0.027 0.000 0.000 #VALUE!2.80 0.026 0.000 0.000 #VALUE!2.80 0.026 0.000 0.000 #VALUE!2.80 0.026 0.000 0.000 #VALUE!2.80 0.026 0.000 0.000 #VALUE!2.80 0.026 0.000 0.000 #VALUE!2.83 0.028 0.000 0.000 #VALUE!2.41 0.026 0.000 0.000 #VALUE!2.73 0.027 0.000 0.000 #VALUE!2.80 0.026 0.000 0.000 #VALUE!2.80 0.026 0.000 0.000 #VALUE!2.80 0.026 0.000 0.000 #VALUE!1.44 0.014 0.002 0.000 0.0002.99 0.014 0.002 0.000 0.0004.54 0.014 0.002 0.000 0.0002.70 0.027 0.004 0.000 389.5652.70 0.027 0.004 0.000 389.5652.00 0.020 0.004 0.000 431.3042.00 0.020 0.004 0.000 431.3042.00 0.020 0.004 0.000 431.3042.00 0.020 0.004 0.000 431.3042.70 0.027 0.004 0.000 389.5652.70 0.027 0.004 0.000 389.5652.70 0.027 0.004 0.000 389.5652.70 0.027 0.004 0.000 389.5652.70 0.027 0.004 0.000 389.5652.70 0.027 0.004 0.000 389.5652.70 0.027 0.004 0.000 389.5652.70 0.027 0.004 0.000 389.5652.00 0.020 0.004 0.000 431.3042.00 0.020 0.004 0.000 431.3042.00 0.009 0.002 0.000 395.6522.00 0.009 0.002 0.000 395.6522.00 0.009 0.002 0.000 395.6522.00 0.009 0.002 0.000 395.6521.60 0.007 0.002 0.000 389.5651.60 0.007 0.002 0.000 389.565

1.60 0.007 0.002 0.000 389.5651.60 0.007 0.002 0.000 389.5652.10 0.010 0.002 0.000 395.6522.10 0.010 0.002 0.000 395.6521.60 0.007 0.002 0.000 389.5654.31 0.043 0.000 0.000 0.0004.31 0.043 0.000 0.000 0.0004.31 0.043 0.000 0.000 0.0004.31 0.043 0.000 0.000 0.0004.31 0.043 0.000 0.000 0.0004.31 0.043 0.000 0.000 0.0002.76 0.028 0.000 0.000 0.0002.76 0.028 0.000 0.000 0.0002.76 0.028 0.000 0.000 0.0002.76 0.028 0.000 0.000 0.0002.76 0.028 0.000 0.000 0.0002.76 0.028 0.000 0.000 0.0001.55 0.015 0.000 0.000 0.0001.55 0.015 0.000 0.000 0.0001.55 0.015 0.000 0.000 0.0001.55 0.015 0.000 0.000 0.0001.55 0.015 0.000 0.000 0.0001.55 0.015 0.000 0.000 0.000

fyk Transversal

0.000 0.550.000 0.550.000 0.550.000 0.550.000 0.550.000 0.550.000 0.550.000 0.550.000 500.00 - - 0.380.000 500.00 - - 0.38

0.000 500.00 - - 0.38

0.000 460.00 - - 0.380.000 460.00 - - 0.380.000 460.00 - - 0.380.000 460.00 - - 0.380.000 460.00 - - 0.380.000 460.00 - - 0.380.000 460.00 - - 0.380.000 460.00 - - 0.380.000 460.00 - - 0.380.000 460.00 - - 0.380.000 460.00 - - 0.380.000 460.00 - - 0.380.000 470.00 - - 0.380.000 470.00 - - 0.380.000 470.00 - - 0.380.000 0.380.000 0.380.000 0.380.000 610.00 610.00 510.00 0.380.000 610.00 610.00 510.00 0.380.000 610.00 610.00 510.00 0.380.000 610.00 610.00 510.00 0.380.000 610.00 610.00 510.00 0.38

fym (MPa) Traccion 1 fym (MPa) Compresion fym (MPa) Tranversales dg(tamano maximo de agregado) in

0.000 610.00 610.00 510.00 0.380.000 442.00 0.750.000 442.00 0.750.000 442.00 0.750.000 442.00 0.750.000 442.00 0.750.000 442.00 0.750.000 442.00 0.750.000 442.00 0.750.000 442.00 0.750.000 442.00 0.750.000 442.00 0.750.000 442.00 0.750.000 00.000 00.000 00.000 0.380.000 0.380.000 0.380.000 0.380.000 0.380.000 0.380.000 0.380.000 0.380.000 0.380.000 0.380.000 0.380.000 0.380.000 0.380.000 0.380.000 0.380.000 0.380.000 0.380.000 0.380.000 0.380.000 0.380.000 0.380.000 0.380.000 0.380.000 0.380.000 0.380.000 0.380.000 0.38

0.000 0.380.000 0.380.000 0.380.000 0.380.000 0.380.000 0.380.000 0.380.000 0.380.000 0.380.000 0.380.000 0.380.000 0.380.000 0.380.000 590.00 - 400.00 0.630.000 590.00 - 400.00 0.630.000 590.00 - 400.00 0.630.000 590.00 - 400.00 0.630.000 500.00 400.00 590.00 0.630.000 500.00 400.00 590.00 0.630.000 500.00 400.00 590.00 0.630.000 590.00 590.00 400.00 0.630.000 590.00 590.00 400.00 0.630.000 590.00 590.00 400.00 0.630.000 590.00 590.00 400.00 0.630.000 590.00 590.00 400.00 0.630.000 590.00 590.00 400.00 0.630.000 590.00 590.00 400.00 0.630.000 590.00 590.00 400.00 0.630.000 590.00 590.00 400.00 0.630.000 680.00 - - -0.000 680.00 - - -0.000 680.00 - - -0.000 680.00 - - -0.000 - - - -0.000 - - -0.000 - - -0.000 - - -0.000 - - -0.000 - - -0.000 - - -0.000 - - -0.000 - - -0.000 - - -

0.000 - - -0.000 - - -0.000 - - 0.980.000 - - 0.980.000 - - 0.980.000 - - 0.980.000 - - 0.980.000 - - 0.980.000 - - 0.980.000 - - 0.980.000 - - 0.980.000 - - 0.980.000 - - 0.980.000 - - 0.980.000 - - 0.980.000 - - 0.980.000 - - 0.980.000 - - 0.980.000 -0.000 -0.000 -0.000 448.00 461.00 414.00 0.380.000 448.00 461.00 414.00 0.380.000 496.00 461.00 414.00 0.380.000 496.00 461.00 414.00 0.380.000 496.00 461.00 414.00 0.380.000 496.00 461.00 414.00 0.380.000 448.00 461.00 414.00 0.380.000 448.00 461.00 414.00 0.380.000 448.00 461.00 414.00 0.380.000 448.00 461.00 414.00 0.380.000 448.00 461.00 414.00 0.380.000 448.00 461.00 414.00 0.380.000 448.00 461.00 414.00 0.380.000 448.00 461.00 414.00 0.380.000 496.00 461.00 414.00 0.380.000 496.00 461.00 414.00 0.380.000 455.00 461.00 414.00 0.380.000 455.00 461.00 414.00 0.380.000 455.00 461.00 414.00 0.380.000 455.00 461.00 414.00 0.380.000 448.00 461.00 414.00 0.380.000 448.00 461.00 414.00 0.38

0.000 448.00 461.00 414.00 0.380.000 448.00 461.00 414.00 0.380.000 455.00 461.00 414.00 0.380.000 455.00 461.00 414.00 0.380.000 448.00 461.00 414.00 0.380.000 0.550.000 0.550.000 0.550.000 0.550.000 0.550.000 0.550.000 0.550.000 0.550.000 0.550.000 0.550.000 0.550.000 0.550.000 0.550.000 0.550.000 0.550.000 0.550.000 0.550.000 0.55

Acero Concreto Puntos de Carga

Es (GPa) Esquema de Cargas

13.97002794006 200.00 39976.65 3.0013.97002794006 200.00 38620.84 3.0013.97002794006 200.00 37594.37 3.0013.97002794006 200.00 39298.95 3.0013.97002794006 200.00 38786.70 3.0013.97002794006 200.00 39183.70 3.0013.97002794006 200.00 36825.36 3.0013.97002794006 200.00 35154.11 3.009.652019304039 200.00 46098.34 4.00

9.652019304039 200.00 46198.34 4.00

9.652019304039 200.00 46380.55 4.00

9.652019304039 200.00 47239.04 4.009.652019304039 200.00 47254.94 4.00

9.652019304039 200.00 46659.36 4.009.652019304039 200.00 46724.48 4.009.652019304039 200.00 46643.05 4.009.652019304039 200.00 46643.05 4.009.652019304039 200.00 46999.25 4.00

9.652019304039 200.00 47476.43 4.009.652019304039 200.00 46821.83 4.009.652019304039 200.00 46854.19 4.00

9.652019304039 200.00 46934.88 4.009.652019304039 200.00 47602.07 4.009.652019304039 200.00 46512.17 4.009.652019304039 200.00 46397.04 4.009.652019304039 200.00 46594.06 4.009.652019304039 200.00 45761.849.652019304039 200.00 45761.849.652019304039 200.00 45761.849.652019304039 232.00 35268.62 4.009.652019304039 232.00 35182.80 4.009.652019304039 232.00 35830.31 4.009.652019304039 232.00 35268.62 4.009.652019304039 232.00 35182.80 4.00

dg(tamano maximo de agregado) mm

Ec,teor EC2 (MPa)

9.652019304039 232.00 35830.31 4.0019.05003810008 200.00 40545.95 4.0019.05003810008 200.00 40803.39 4.0019.05003810008 200.00 41802.03 4.0019.05003810008 200.00 40545.95 4.0019.05003810008 200.00 40803.39 4.0019.05003810008 200.00 41802.03 4.0019.05003810008 200.00 40545.95 4.0019.05003810008 200.00 40803.39 4.0019.05003810008 200.00 41802.03 4.0019.05003810008 200.00 32009.06 4.0019.05003810008 200.00 32009.06 4.0019.05003810008 200.00 32009.06 4.00

0 200.00 26662.20 3.000 200.00 28913.32 3.000 200.00 30251.52 3.00

9.652019304039 200.00 33078.419.652019304039 200.00 33078.419.652019304039 200.00 33078.419.652019304039 200.00 33078.419.652019304039 200.00 33078.419.652019304039 200.00 33078.419.652019304039 200.00 33078.419.652019304039 200.00 33078.419.652019304039 200.00 33078.419.652019304039 200.00 33078.419.652019304039 200.00 33078.419.652019304039 200.00 33078.419.652019304039 200.00 33078.419.652019304039 200.00 33078.419.652019304039 200.00 33078.419.652019304039 200.00 33078.419.652019304039 200.00 29536.64 4.009.652019304039 200.00 29536.64 4.009.652019304039 200.00 29536.64 4.009.652019304039 200.00 29536.64 4.009.652019304039 200.00 31408.97 4.009.652019304039 200.00 31408.97 4.009.652019304039 200.00 31408.97 4.009.652019304039 200.00 31408.97 4.009.652019304039 200.00 31694.20 4.009.652019304039 200.00 31694.20 4.009.652019304039 200.00 31694.20 4.00

9.652019304039 200.00 31694.20 4.009.652019304039 200.00 31694.20 4.009.652019304039 200.00 31694.20 4.009.652019304039 200.00 31729.49 4.009.652019304039 200.00 31729.49 4.009.652019304039 200.00 31729.49 4.009.652019304039 200.00 31729.49 4.009.652019304039 200.00 27992.72 4.009.652019304039 200.00 27992.72 4.009.652019304039 200.00 27992.72 4.009.652019304039 200.00 32885.53 4.009.652019304039 200.00 32885.53 4.009.652019304039 200.00 32885.53 4.0016.00203200406 200.00 45913.88 3.0016.00203200406 200.00 45997.91 3.0016.00203200406 200.00 45997.91 3.0016.00203200406 200.00 36267.31 3.0016.00203200406 200.00 46918.77 3.0016.00203200406 200.00 47990.48 3.0016.00203200406 200.00 47680.26 3.0016.00203200406 200.00 43834.38 4.0016.00203200406 200.00 44327.56 4.0016.00203200406 200.00 44327.56 4.0016.00203200406 200.00 43760.36 4.0016.00203200406 200.00 43760.36 4.0016.00203200406 200.00 41761.37 4.0016.00203200406 200.00 45073.59 4.0016.00203200406 200.00 44327.56 4.0016.00203200406 200.00 41761.37 4.00

#VALUE! 200.00 36050.14 3.00#VALUE! 200.00 36825.36 3.00#VALUE! 200.00 35968.02 3.00#VALUE! 200.00 37188.19 3.00#VALUE! 200.00 35154.11 3.00#VALUE! 200.00 35268.62 3.00#VALUE! 200.00 35009.91 3.00#VALUE! 200.00 34951.90 3.00#VALUE! 200.00 34922.82 3.00#VALUE! 200.00 34540.32 3.00#VALUE! 200.00 34951.90 3.00#VALUE! 200.00 34922.82 3.00#VALUE! 200.00 34540.32 3.00#VALUE! 200.00 35154.11 3.00

#VALUE! 200.00 35268.62 3.00#VALUE! 200.00 35009.91 3.00

24.8920497841 200.00 32453.21 3.0024.8920497841 200.00 34240.21 3.0024.8920497841 200.00 34240.21 3.0024.8920497841 200.00 32453.21 3.0024.8920497841 200.00 34240.21 3.0024.8920497841 200.00 34240.21 3.0024.8920497841 200.00 34240.21 3.0024.8920497841 200.00 34240.21 3.0024.8920497841 200.00 32453.21 3.0024.8920497841 200.00 34240.21 3.0024.8920497841 200.00 34570.04 3.0024.8920497841 200.00 34570.04 3.0024.8920497841 200.00 34570.04 3.0024.8920497841 200.00 34570.04 3.0024.8920497841 200.00 34570.04 3.0024.8920497841 200.00 34570.04 3.00

#VALUE! 200.00 35579.74 4.00#VALUE! 200.00 35830.31 4.00#VALUE! 200.00 37265.03 4.00

9.652019304039 200.00 35719.38 3.009.652019304039 200.00 35719.38 3.009.652019304039 200.00 36267.31 3.009.652019304039 200.00 36267.31 3.009.652019304039 200.00 34360.88 3.009.652019304039 200.00 34360.88 3.009.652019304039 200.00 34360.88 3.009.652019304039 200.00 34360.88 3.009.652019304039 200.00 32078.19 3.009.652019304039 200.00 32078.19 3.009.652019304039 200.00 36294.28 3.009.652019304039 200.00 36294.28 3.009.652019304039 200.00 37417.75 3.009.652019304039 200.00 37417.75 3.009.652019304039 200.00 35857.94 3.009.652019304039 200.00 35857.94 3.009.652019304039 200.00 37819.05 3.009.652019304039 200.00 37819.05 3.009.652019304039 200.00 31264.39 3.009.652019304039 200.00 31264.39 3.009.652019304039 200.00 35579.74 3.009.652019304039 200.00 35579.74 3.00

9.652019304039 200.00 31587.84 3.009.652019304039 200.00 31587.84 3.009.652019304039 200.00 36159.05 3.009.652019304039 200.00 35719.38 3.009.652019304039 200.00 34026.97 3.0013.97002794006 200.00 33529.24 4.0013.97002794006 200.00 33592.27 4.0013.97002794006 200.00 32951.04 4.0013.97002794006 200.00 35182.80 4.0013.97002794006 200.00 33113.68 4.0013.97002794006 200.00 33717.62 4.0013.97002794006 200.00 33873.00 4.0013.97002794006 200.00 34270.46 4.0013.97002794006 200.00 32885.53 4.0013.97002794006 200.00 32786.77 4.0013.97002794006 200.00 33748.81 4.0013.97002794006 200.00 33686.37 4.0013.97002794006 200.00 34149.15 4.0013.97002794006 200.00 33623.69 4.0013.97002794006 200.00 32687.42 4.0013.97002794006 200.00 33242.66 4.0013.97002794006 200.00 33016.29 4.00

200.00 32587.46 4.00

Limite Elastico, despLimite Elastico

Pu, Carga KN

Xc hsp

0.38 135.72 0.32726271820731 0.000232584242710.70 251.28 0.62717415960709 0.000445730047590.83 295.49 0.75764721036204 0.000538456698120.31 110.90 0.27203199527209 0.000193331999320.52 186.13 0.46258685785942 0.00032875854180.59 211.73 0.52086127033167 0.000370173922590.63 224.91 0.58872970843668 0.000418407737210.61 216.38 0.59332554972516 0.000421673982360.05 19.380.02 20.60

0.02 19.42

0.24 52.740.13 55.610.06 52.530.05 67.620.34 73.920.16 69.910.09 73.360.05 67.970.37 80.940.19 83.180.09 81.220.05 68.660.18 77.640.10 89.790.08 101.600.15 100.400.15 99.670.10 64.010.04 24.630.10 58.670.10 62.880.05 21.420.11 49.65

Momento Maximo KN*mm

Desplazamiento (mm) de la Viga

0.12 49.930.08 34.150.13 57.560.14 61.520.07 42.740.08 52.200.09 57.440.05 44.650.06 54.340.07 61.780.11 45.680.07 43.080.05 45.100.08 25.620.16 47.930.16 47.930.11 35.160.06 32.290.05 34.300.06 21.410.04 29.950.11 35.050.06 33.600.05 35.320.13 44.370.06 35.480.05 37.630.08 26.290.03 26.370.15 48.580.08 45.990.07 51.190.06 23.580.04 24.760.04 27.160.03 29.050.07 29.470.05 28.880.04 31.830.04 32.680.08 33.360.06 33.010.05 33.53

0.04 35.270.04 20.890.06 35.650.09 36.430.06 35.650.05 35.650.04 37.870.03 19.540.04 24.760.06 33.010.05 25.990.07 41.260.09 47.200.42 126.580.50 150.980.52 157.030.38 113.49 Acero con gancho y Acero onduladas0.56 182.080.62 201.630.81 264.26 Acero con gancho y Acero onduladas0.18 212.540.37 440.83 Acero con gancho y Acero onduladas0.33 392.62 Acero con gancho y Acero onduladas0.26 315.860.31 373.920.34 406.390.29 350.300.57 968.03 Acero con gancho y Acero onduladas0.51 866.290.18 81.510.22 98.840.24 108.210.31 139.591.20 397.891.60 531.171.72 568.690.28 129.670.29 135.720.38 178.080.42 197.310.38 177.580.51 237.630.16 93.48

0.18 102.570.26 146.070.14 77.180.27 142.960.38 198.710.77 204.091.09 289.810.57 262.280.58 486.930.57 478.420.33 280.920.53 451.180.32 169.800.33 274.111.57 418.390.34 289.430.36 303.050.55 466.500.06 32.180.11 57.630.12 61.830.16 83.250.16 83.250.43 219.480.42 211.910.43 231.680.48 239.400.54 270.290.40 200.790.39 196.770.51 257.320.49 249.750.49 249.750.45 227.040.57 287.590.49 249.750.49 249.750.90 766.690.84 713.820.87 740.260.87 740.260.84 713.820.87 740.26

0.65 555.190.56 475.881.09 925.321.05 898.880.40 343.690.05 26.070.08 42.400.02 17.230.06 53.410.02 22.560.04 54.970.04 19.270.07 37.990.02 16.170.05 41.220.02 20.090.04 55.350.03 16.640.07 35.820.01 13.520.04 37.510.02 19.900.03 38.84

Propiedades del Material

Tipo Lf long. fibra (mm) Area (mm²) Diametro Nominal (mm) Df (in) Df (mm)

- - - -Acero con gancho 30 0.508Acero con gancho 30 0.508

- - - - -Acero con gancho 30 0.508Acero con gancho 30 0.508Acero con gancho 50 0.508Acero con gancho 50 0.508Acero con gancho 60 0.79Acero con gancho 60 0.79

Acero con gancho 60 0.79

Acero con gancho 60 0.79Acero con gancho 60 0.79Acero con gancho 60 0.79Acero con gancho 60 0.79Acero con gancho 60 0.79Acero con gancho 60 0.79Acero con gancho 60 0.79Acero con gancho 60 0.79Acero con gancho 60 0.79Acero con gancho 60 0.79Acero con gancho 60 0.79Acero con gancho 60 0.79Acero con gancho 60 0.79Acero con gancho 60 0.79Acero con gancho 60 0.79Acero con gancho 30 0.508Acero con gancho 30 0.508Acero con gancho 30 0.508

- - - - -Acero con gancho 30 0.508Acero con gancho 30 0.508

- - - - -Acero con gancho 30 0.508

Acero con gancho 30 0.508- - - - -

Acero con gancho 50 0.79Acero con gancho 50 0.79

- - - - -Acero con gancho 50 0.79Acero con gancho 50 0.79

- - - - -Acero con gancho 50 0.79Acero con gancho 50 0.79Acero con gancho 50 0.79Acero con gancho 50 0.79Acero con gancho 50 0.79

- - - - -Acero con gancho 30 0.508Acero con gancho 50 0.508Acero con gancho 30 0.02 0.508Acero con gancho 30 0.02 0.508Acero con gancho 30 0.02 0.508

- - - - - -- - - - - #VALUE!

Acero con gancho 30 0.02 0.508Acero con gancho 30 0.02 0.508Acero con gancho 30 0.02 0.508Acero con gancho 30 0.02 0.508Acero con gancho 30 0.02 0.508Acero con gancho 30 0.02 0.508

- - - - - #VALUE!- - - - - #VALUE!

Acero con gancho 30 0.02 0.508Acero con gancho 30 0.02 0.508Acero con gancho 30 0.02 0.508

- - - - - -- - - - - -- - - - - -- - - - - -

Acero con gancho 30 0.02 0.508Acero con gancho 30 0.02 0.508Acero con gancho 30 0.02 0.508Acero con gancho 30 0.02 0.508Acero con gancho 30 0.02 0.508Acero con gancho 30 0.02 0.508Acero con gancho 30 0.02 0.508

Acero con gancho 30 0.02 0.508Acero con gancho 30 0.02 0.508Acero con gancho 30 0.02 0.508Acero con gancho 30 0.02 0.508Acero con gancho 30 0.02 0.508Acero con gancho 30 0.02 0.508Acero con gancho 30 0.02 0.508Acero con gancho 30 0.02 0.508Acero con gancho 30 0.02 0.508Acero con gancho 30 0.02 0.508Acero con gancho 30 0.02 0.508Acero con gancho 30 0.02 0.508Acero con gancho 30 0.02 0.508

- - - - - -Acero con gancho 60 0.028 0.7112Acero con gancho 60 0.028 0.7112

Acero con gancho y Acero onduladas - 0.024 0.6096- - - - - -

Acero con gancho 30 0.024 0.6096Acero con gancho y Acero onduladas - 0.024 0.6096

- - - - - -Acero con gancho y Acero onduladas - 0.024 0.6096Acero con gancho y Acero onduladas - 0.024 0.6096

Acero con gancho 60 0.0228 0.57912Acero con gancho 60 0.0228 0.57912Acero con gancho 60 0.0228 0.57912Acero con gancho 60 0.0228 0.57912

Acero con gancho y Acero onduladas - 0.024 0.6096Acero con gancho 60 0.028 0.7112

- - - - - -Acero con gancho 60 0.035 0.889Acero con gancho 60 0.035 0.889Acero con gancho 60 0.035 0.889




- - - - - -

Acero con gancho 60 0.035 0.889Acero con gancho 60 0.035 0.889


- - - - - -Acero con gancho 60 0.035 0.889Acero con gancho 60 0.035 0.889Acero con gancho 60 0.035Acero con gancho 60 0.035

- - - - - -Acero con gancho 60 0.035 0.889Acero con gancho 60 0.035 0.889Acero con gancho 60 0.035 0.889Acero con gancho 60 0.035 0.889Acero con gancho 60 0.035 0.889Acero con gancho 60 0.035 0.889Acero con gancho 60 0.035 0.889

- - - - - -- - - - - -

Acero con gancho 51 0.024- - - - - -- - - - - -

Acero con gancho 30 0.55Acero con gancho 30 0.55Acero con gancho 30 0.55Acero con gancho 30 0.55Acero con gancho 30 0.55Acero con gancho 30 0.55Acero con gancho 30 0.55Acero con gancho 30 0.55Acero con gancho 30 0.55Acero con gancho 30 0.55Acero con gancho 60 0.75Acero con gancho 60 0.75Acero con gancho 30 0.38Acero con gancho 30 0.38Acero con gancho 30 0.55Acero con gancho 30 0.55Acero con gancho 60 0.75Acero con gancho 60 0.75Acero con gancho 30 0.55Acero con gancho 30 0.55

Acero con gancho 60 0.75Acero con gancho 60 0.75Acero con gancho 30 0.55Acero con gancho 60 0.75

- - - - - -- - - -

Acero Ondulado 50 0.02 0.508- - - -

Acero Ondulado 50 0.02 0.508- - - #VALUE!







Acero Ondulado 50 0.02 0.508000

00000000000

00

000000000

00000000000000000000000000000000

0000000000000000000000000000000000000000000

0000000000000000000000000000000000000000

Propiedades del Material

Lf/Df (long-diam)

- -59.0551181102362 174.2 1201.0670329162759.0551181102362 174.2 1201.06703291627

- 059.0551181102362 174.2 1201.0670329162759.0551181102362 174.2 1201.0670329162798.4251968503937 174.2 1201.0670329162798.4251968503937 174.2 1201.0670329162775.9493670886076 37.5 258.55346575407675.9493670886076 37.5 258.553465754076

75.9493670886076 37.5 258.553465754076

75.9493670886076 37.5 258.55346575407675.9493670886076 37.5 258.55346575407675.9493670886076 37.5 258.55346575407675.9493670886076 37.5 258.55346575407675.9493670886076 37.5 258.55346575407675.9493670886076 37.5 258.55346575407675.9493670886076 37.5 258.55346575407675.9493670886076 37.5 258.55346575407675.9493670886076 37.5 258.55346575407675.9493670886076 37.5 258.55346575407675.9493670886076 37.5 258.55346575407675.9493670886076 37.5 258.55346575407675.9493670886076 37.5 258.55346575407675.9493670886076 37.5 258.55346575407675.9493670886076 37.5 258.55346575407659.0551181102362 174.2 1201.0670329162759.0551181102362 174.2 1201.0670329162759.0551181102362 174.2 1201.06703291627

- 059.0551181102362 161.7 1114.8825443315859.0551181102362 161.7 1114.88254433158

- 059.0551181102362 161.7 1114.88254433158

fu (resistencia a la tracción de fibra) Ksi

fu (resistencia a la tracción de fibra) Mpa

59.0551181102362 161.7 1114.88254433158- 0

63.2911392405063 156.5 1079.0297970803563.2911392405063 156.5 1079.02979708035

- 063.2911392405063 156.5 1079.0297970803563.2911392405063 156.5 1079.02979708035

- 063.2911392405063 156.5 1079.0297970803563.2911392405063 156.5 1079.0297970803563.2911392405063 156.5 1079.0297970803563.2911392405063 156.5 1079.0297970803563.2911392405063 156.5 1079.02979708035

- 059.06 170.10 1172.79852066049

98.4251968503937 060 no hay dato #VALUE!60 no hay dato #VALUE!60 no hay dato #VALUE!- no hay dato #VALUE!- no hay dato #VALUE!

60 no hay dato #VALUE!60 no hay dato #VALUE!60 no hay dato #VALUE!60 no hay dato #VALUE!60 no hay dato #VALUE!60 no hay dato #VALUE!- no hay dato #VALUE!- no hay dato #VALUE!

60 no hay dato #VALUE!60 no hay dato #VALUE!60 no hay dato #VALUE!- 0- 0- 0- 0

60 183 1261.7409128798960 183 1261.7409128798960 183 1261.7409128798960 183 1261.7409128798960 183 1261.7409128798960 183 1261.7409128798960 183 1261.74091287989

60 183 1261.7409128798960 183 1261.7409128798960 183 1261.7409128798960 183 1261.7409128798960 183 1261.7409128798960 183 1261.7409128798960 183 1261.7409128798960 183 1261.7409128798960 183 1261.7409128798960 183 1261.7409128798960 183 1261.7409128798960 183 1261.7409128798960 183 1261.74091287989- 0

86 319.3 2201.4965764073886 319.3 2201.4965764073850 159.7 1101.09302615803- 0

50 159.7 1101.0930261580350 159.7 1101.09302615803- 0

50 159.7 1101.0930261580350 159.7 1101.0930261580386 319.3 2201.4965764073886 319.3 2201.4965764073886 319.3 2201.4965764073886 319.3 2201.4965764073850 159.7 1101.0930261580386 319.3 2201.49657640738- 0

66.7 145.1 1000.4295434911166.7 145.1 1000.4295434911166.7 145.1 1000.42954349111

- 066.7 145.1 1000.4295434911166.7 145.1 1000.42954349111

- 066.7 145.1 1000.4295434911166.7 145.1 1000.42954349111

- 066.7 145.1 1000.4295434911166.7 145.1 1000.42954349111

- 0

66.7 145.1 1000.4295434911166.7 145.1 1000.42954349111

- 066.7 145.1 1000.4295434911166.7 145.1 1000.42954349111

- 066.7 145.1 1000.4295434911166.7 145.1 1000.4295434911166.7 145.1 1000.4295434911166.7 145.1 1000.42954349111

- 066.7 145.1 1000.4295434911166.7 145.1 1000.4295434911166.7 145.1 1000.4295434911166.7 145.1 1000.4295434911166.7 145.1 1000.4295434911166.7 145.1 1000.4295434911166.7 145.1 1000.42954349111

- 0- 0

83.3 no hay dato #VALUE!- 0- 0

54.5454545454545 162 1116.9509720576154.5454545454545 162 1116.9509720576154.5454545454545 162 1116.9509720576154.5454545454545 162 1116.9509720576154.5454545454545 162 1116.9509720576154.5454545454545 162 1116.9509720576154.5454545454545 162 1116.9509720576154.5454545454545 162 1116.9509720576154.5454545454545 162 1116.9509720576154.5454545454545 162 1116.95097205761

80 162 1116.9509720576180 162 1116.95097205761

78.9473684210526 162 1116.9509720576178.9473684210526 162 1116.9509720576154.5454545454545 162 1116.9509720576154.5454545454545 162 1116.95097205761

80 162 1116.9509720576180 162 1116.95097205761

54.5454545454545 162 1116.9509720576154.5454545454545 162 1116.95097205761

80 162 1116.9509720576180 162 1116.95097205761

54.5454545454545 162 1116.9509720576180 162 1116.95097205761

- 0- 0

100 227.9 1571.31559587611- 0

100 227.9 1571.31559587611- 0

100 227.9 1571.31559587611- 0

100 227.9 1571.31559587611- 0

100 227.9 1571.31559587611- 0

100 227.9 1571.31559587611- 0

100 227.9 1571.31559587611- 0

100 227.9 1571.31559587611- 0

100 227.9 1571.31559587611

F (Factor de la fibra)

0 0.5 0.9 10.442913385826772 0.5 0.9 1

#VALUE! 0.5 0.9 10 0.5 0.9 1

0.236220472440945 0.5 0.9 10.590551181102362 0.5 0.9 10.393700787401575 0.5 0.9 1

#REF! 0.5 0.9 10.759493670886076 0.5 0.9 10.759493670886076 0.5 0.9 1

0.759493670886076 0.5 0.9 1

0.379746835443038 0.5 0.9 10.379746835443038 0.5 0.9 10.379746835443038 0.5 0.9 10.379746835443038 0.5 0.9 10.759493670886076 0.5 0.9 10.759493670886076 0.5 0.9 10.759493670886076 0.5 0.9 10.759493670886076 0.5 0.9 11.13924050632911 0.5 0.9 11.13924050632911 0.5 0.9 11.13924050632911 0.5 0.9 11.13924050632911 0.5 0.9 1

0.759493670886076 0.5 0.9 10.759493670886076 0.5 0.9 1

#REF! 0.5 0.9 10.767716535433071 0.5 0.9 10.767716535433071 0.5 0.9 1

#REF! 0.5 0.9 10 0.5 0.9 1

0.590551181102362 0.5 0.9 1#VALUE! 0.5 0.9 1

0 0.5 0.9 10.590551181102362 0.5 0.9 1

df(fibra lisas) Factor de Union

df(fibra deformes) Factor de Union

df(fibra con gancho) Factor de Union

#REF! 0.5 0.9 10 0.5 0.9 1

0.316455696202532 0.5 0.9 1#VALUE! 0.5 0.9 1

0 0.5 0.9 10.316455696202532 0.5 0.9 1

#VALUE! 0.5 0.9 10 0.5 0.9 1

0.316455696202532 0.5 0.9 10.474683544303798 0.5 0.9 10.316455696202532 0.5 0.9 10.316455696202532 0.5 0.9 1

#REF! 0.5 0.9 10 0.5 0.9 1

0.984251968503937 0.5 0.9 1#REF! 0.5 0.9 1

0.3 0.5 0.9 10.3 0.5 0.9 1

#VALUE! 0.5 0.9 1#VALUE! 0.5 0.9 1

0 0.5 0.9 10.6 0.5 0.9 10.6 0.5 0.9 10.6 0.5 0.9 10.3 0.5 0.9 10.3 0.5 0.9 1

#VALUE! 0.5 0.9 1#VALUE! 0.5 0.9 1

0 0.5 0.9 10.6 0.5 0.9 10.6 0.5 0.9 1

#REF! 0.5 0.9 1#VALUE! 0.5 0.9 1#VALUE! 0.5 0.9 1#VALUE! 0.5 0.9 1

0 0.5 0.9 10.3 0.5 0.9 10.3 0.5 0.9 10.3 0.5 0.9 10.3 0.5 0.9 1

0.45 0.5 0.9 10.45 0.5 0.9 10.45 0.5 0.9 1

0.45 0.5 0.9 10.45 0.5 0.9 10.45 0.5 0.9 10.6 0.5 0.9 10.6 0.5 0.9 10.6 0.5 0.9 10.6 0.5 0.9 1

0.45 0.5 0.9 10.45 0.5 0.9 10.45 0.5 0.9 10.45 0.5 0.9 10.45 0.5 0.9 1

#REF! 0.5 0.9 10 0.5 0.9 1

0.43 0.5 0.9 10.375 0.5 0.9 1

#VALUE! 0.5 0.9 10 0.5 0.9 1

0.5 0.5 0.9 1#VALUE! 0.5 0.9 1

0 0.5 0.9 10.45 0.5 0.9 1

0.774 0.5 0.9 10.43 0.5 0.9 10.43 0.5 0.9 1

0.645 0.5 0.9 10.375 0.5 0.9 10.774 0.5 0.9 1#REF! 0.5 0.9 1

0 0.5 0.9 10.16675 0.5 0.9 10.34017 0.5 0.9 1#VALUE! 0.5 0.9 1

0 0.5 0.9 10.16675 0.5 0.9 1#VALUE! 0.5 0.9 1

0 0.5 0.9 10.16675 0.5 0.9 1#VALUE! 0.5 0.9 1

0 0.5 0.9 10.16675 0.5 0.9 1#VALUE! 0.5 0.9 1

0 0.5 0.9 1

0.16675 0.5 0.9 1#VALUE! 0.5 0.9 1

0 0.5 0.9 10.3335 0.5 0.9 1

#VALUE! 0.5 0.9 10 0.5 0.9 1

0.3335 0.5 0.9 10.3335 0.5 0.9 10.3335 0.5 0.9 1

#VALUE! 0.5 0.9 10 0.5 0.9 1

0.3335 0.5 0.9 10.3335 0.5 0.9 10.3335 0.5 0.9 10.3335 0.5 0.9 10.3335 0.5 0.9 10.3335 0.5 0.9 1#REF! 0.5 0.9 1

#VALUE! 0.5 0.9 10 0.5 0.9 1

#REF! 0.5 0.9 1#VALUE! 0.5 0.9 1

0 0.5 0.9 10.409090909090909 0.5 0.9 10.409090909090909 0.5 0.9 10.545454545454545 0.5 0.9 10.545454545454545 0.5 0.9 10.545454545454545 0.5 0.9 10.545454545454545 0.5 0.9 10.818181818181818 0.5 0.9 10.818181818181818 0.5 0.9 10.818181818181818 0.5 0.9 1

1.2 0.5 0.9 10.8 0.5 0.9 1

0.789473684210526 0.5 0.9 10.592105263157895 0.5 0.9 10.409090909090909 0.5 0.9 10.409090909090909 0.5 0.9 1

0.6 0.5 0.9 10.6 0.5 0.9 1

0.409090909090909 0.5 0.9 10.409090909090909 0.5 0.9 1

0.6 0.5 0.9 1

0.6 0.5 0.9 10.409090909090909 0.5 0.9 1

1.2 0.5 0.9 1#VALUE! 0.5 0.9 1

#REF! 0.5 0.9 10 0.5 0.9 1

#VALUE! 0.5 0.9 10 0.5 0.9 1

#VALUE! 0.5 0.9 10 0.5 0.9 1

#VALUE! 0.5 0.9 10 0.5 0.9 1

#VALUE! 0.5 0.9 10 0.5 0.9 1

#VALUE! 0.5 0.9 10 0.5 0.9 1

#VALUE! 0.5 0.9 10 0.5 0.9 1

#VALUE! 0.5 0.9 10 0.5 0.9 1

#VALUE! 0.5 0.9 10 0.5 0.9 10 0.5 0.9 1

Vu exp (KN)

148.428 0.003 4.94224433654347E-05274.80384 0.003 9.15021237165762E-05323.14896 0.003 0.000107599719555604121.28688 0.003 4.03851965786123E-05203.5584 0.003 6.77793509011676E-05

231.54768 0.003 7.70990116500781E-05245.9664 0.003 8.19000490055775E-05

236.63664 0.003 7.87934954226073E-0545.15 0.003 0.000549165145726125

23.91875 0.003 0.000292219458722772

15.05 0.003 0.000184677013798472

244.29375 0.003 0.000395313593882396129.5375 0.003 0.0002100774605079361.00625 0.003 9.9376505063774E-0552.40625 0.003 8.57428992635763E-05342.3875 0.003 0.000554047875254315162.8625 0.003 0.00026412228437304185.19375 0.003 0.000138776881520777

52.675 0.003 8.6182606439287E-05374.90625 0.003 0.000606669376750212193.76875 0.003 0.00031424450005439494.33125 0.003 0.00015366146818231153.2125 0.003 8.70620207907083E-05

180.86875 0.003 0.00018143747819032104.275 0.003 0.000105067670552008

78.74375 0.003 7.9691259267971E-05154.40625 0.003 0.00019055947312844153.28125 0.003 0.000189171061666666

98.4375 0.003 0.00019586518835736140.4055 0.003 7.00053899663434E-0596.2505 0.003 0.000166760806992997103.149 0.003 0.00017871294674334849.6035 0.003 8.57874771280411E-05114.975 0.003 0.000198845145661022

Resultados Experimentales

Ɛx(deformacion del hormigon, en la mitad de la

profundidad del elemento )ACI 445,1997

Ɛx(deformacion del hormigon, en la mitad de la

profundidad del elemento )ACI 445,1998

115.632 0.003 0.00019998140363622880.03 0.003 0.000251212910759155

134.885 0.003 0.000423401892637119144.16 0.003 0.0004525159716986167.045 0.003 0.00021091619978378881.885 0.003 0.000257601208431584

90.1 0.003 0.00028344469536161352.47 0.003 0.00016543156523813

63.865 0.003 0.000201358622335372.61 0.003 0.000228930549874989

107.06 0.003 0.00033605965545264467.575 0.003 0.00021258352152121

53 0.003 0.00016710259114962742.02303 0.003 9.31399054521594E-0578.63205 0.003 0.00017428019118348878.63205 0.003 0.000174280191183488

106.48664 0.003 0.00024070152122991657.77824 0.003 0.00013090066891244945.01328 0.003 0.000102187960344913

- 64.83256 0.003 0.000146546982957015- 39.30264 0.003 8.92238161220509E-05

106.15072 0.003 0.00023994221043739260.12968 0.003 0.00013622802171702546.35696 0.003 0.000105238347220881134.368 0.003 0.000175303968206743

63.48888 0.003 8.30208940417881E-0549.38024 0.003 6.47030048422513E-0579.61304 0.003 0.00010386760116249534.59976 0.003 4.53361190391285E-05

147.13296 0.003 0.00019195784518638482.3004 0.003 0.00010761967746157767.184 0.003 8.80312991051038E-0559.888 0.003 0.00018798152040748544.916 0.003 0.000141235484137635

38.32832 0.003 0.0001207337198674433.53728 0.003 0.000105828181611919

74.86 0.003 0.00023497690050935752.402 0.003 0.00016477473149390744.916 0.003 0.000141484827969656

37.72944 0.003 0.00011905670431340984.74152 0.003 0.000265993851376592

59.888 0.003 0.0001883139788501847.31152 0.003 0.000149030685461371

40.72384 0.003 0.00012850564910018737.392 0.003 0.000197018813965556

64.67904 0.003 0.0001355860647721392.52696 0.003 0.00029043144902956564.67904 0.003 0.00020337909715819450.30592 0.003 0.00015846300732601543.71824 0.003 0.000137954593886966

34.96 0.003 0.00018420458216291844.916 0.003 0.00014123548413763559.888 0.003 0.00012554265256678746.512 0.003 0.00024507218322544874.86 0.003 0.000235392473562725

85.63984 0.003 0.000179525993170505210.96 0.003 0.000164049199280338251.64 0.003 0.000195683259892416261.72 0.003 0.000203521788185675189.15 0.003 0.000197318019413222280.12 0.003 0.000162038438155347310.2 0.003 0.00017943853889686

406.55 0.003 0.000235173236584521177.12 0.003 7.79690046964744E-05367.36 0.003 0.000161713491222317327.18 0.003 0.000144026078119876263.22 0.003 0.000115870604201705311.6 0.003 0.000137167693447501

338.66 0.003 0.000149079624720574291.92 0.003 0.000128504470703449569.43 0.003 0.000133644400862809509.58 0.003 0.00011959769206341590.48 0.003 6.15523038014717E-05

109.72 0.003 7.4641012081095E-05120.12 0.003 8.171598952954E-05154.96 0.003 0.000105417163981831209.56 0.003 0.000282611145366887279.76 0.003 0.538446884175084299.52 0.003 0.576478448484848

78.6 0.003 0.00016604166541666482.268 0.003 0.000173790276469442

107.944 0.003 0.000228030553838886119.6 0.003 0.000160954048848737

107.64 0.003 0.000144858643963863144.04 0.003 0.0001938446588308774.88 0.003 0.000100430382778574

82.16 0.003 0.000110194447770935117 0.003 0.00015692247309152259.8 0.003 5.13775728087519E-05

110.76 0.003 9.51602000718621E-05145.14 0.003 7.24542179561767E-05

108 0.003 4.61439201507141E-05153.36 0.003 6.5524366614014E-05169.28 0.003 8.83517644634814E-05263.12 0.003 0.000137527712637125258.52 0.003 0.000135123381996615151.8 0.003 7.93429111368027E-05243.8 0.003 0.000127429523946986

131.56 0.003 0.000113030660179254148.12 0.003 7.74194466243953E-05221.4 0.003 9.45950363089639E-05156.4 0.003 8.17472417773118E-05

163.76 0.003 8.55941708021265E-05252.08 0.003 0.00013175731909990363.342 0.003 0.000119638193159881

113.436 0.003 0.000214254019122925121.716 0.003 0.00022989299862094963.7032 0.003 4.44164182602175E-0563.7032 0.003 4.44164182602175E-05

167.9448 0.003 0.000151793483279868162.1536 0.003 0.000146559225235734173.736 0.003 0.000157051983085448

179.5272 0.003 0.000162287049188296202.692 0.003 0.000141346784776903

150.5712 0.003 0.000105000468691414150.5712 0.003 0.000104984261342332196.9008 0.003 0.000137287110986127191.1096 0.003 0.000133249254780652191.1096 0.003 0.000133249254780652173.736 0.003 0.000121135686164229

220.0656 0.003 0.000153438535808024191.1096 0.003 0.000172730515456401191.1096 0.003 0.000172730515456401359.107 0.003 0.000324621647153531334.341 0.003 0.000302233947349839346.724 0.003 0.000313427797251685346.724 0.003 0.000313427797251685334.341 0.003 0.000362680736819807346.724 0.003 0.000376113356702022

260.043 0.003 0.000282085017526517222.894 0.003 0.000241787157879871433.405 0.003 0.000376447977126134421.022 0.003 0.000365692320636816160.979 0.003 0.000174624058468796

49.11775 0.003 9.75402821597877E-0579.871 0.003 0.000158611497399299

18.9475 0.003 3.77457008853927E-0558.73725 0.003 0.00011701167274471717.34425 0.003 3.4664312015132E-0542.2675 0.003 8.44760544906577E-05

36.29175 0.003 0.00011210861312529571.56325 0.003 0.00022106557849204817.7815 0.003 5.51022710361117E-05

45.32825 0.003 0.00014046562534615415.4495 0.003 4.80315957333855E-0542.559 0.003 0.000132313452397628

31.33625 0.003 0.00017424109750798967.48225 0.003 0.0003752261774241814.8665 0.003 8.2924401329755E-05

41.24725 0.003 0.00023007456447373215.01225 0.003 8.4027680619647E-0529.29575 0.003 0.000163976347616981

0

2

4

6

8

10

12

Col-umn CGCol-umn CH

Esfuerzo cortante maximo

Vf % (Volumen de fibras ) Vu/(fc)^1/2

1.75 0 0.2259240285287663.24 85.14% 0.75 0.4405004715484213.81 117.71% 1.5 0.5393549922038641.43 0 0.1894081270603012.4 67.83% 0.4 0.32420593617498

2.73 90.91% 0.6 0.3631937974598062.9 102.80% 0.4 0.423459203735313

2.79 95.10% 0.6 0.4367914430318921.68 1 0.1751521078079430.89 1 0.0924878136856179

0.56 1 0.057851980555687

9.09 0.5 0.9135793740706244.82 0.5 0.4841837514274072.27 0.5 0.2324083192021781.95 0.5 0.199228679677012

12.74 1 1.305037459308886.06 1 0.6207635010527323.17 1 0.3210383793655221.96 1 0.195511829877096

13.95 1.5 1.420808971248457.21 1.5 0.7335786809602773.51 1.5 0.356202941495971.98 1.5 0.1967254138390576.73 1 0.6923076968299193.88 1 0.4006178596987352.93 1 0.300611657160955.49 1.3 0.5786968118108135.45 1.3 0.5744804415972563.5 1.3 0.368932393686311

1.23 0 0.19162691300132.93 138.21% 1 0.4581481807245583.14 155.28% 2 0.4777357862683951.51 0 0.2352492997007833.5 131.79% 1 0.547275983800667

vu,experimental Esfuerzo Cort. ultimo (Mpa)

ΔV

3.52 133.11% 2 0.5355509451161623.02 0 -5.09 68.54% 0.5 0.6372464767264815.44 80.13% 0.75 0.6568055922461622.53 0 0.3197667880222163.09 22.13% 0.5 0.3868549338084143.4 34.39% 0.75 0.410503495153851

1.98 0 0.2502522688869522.41 21.72% 0.5 0.3017218092162712.74 38.38% 0.75 0.3308175225651624.04 33.77% 0.5 0.7279574698580122.55 0.79% 0.5 0.459478105974735

2 1.01% 0.5 0.3603749850782241.63 0 0.3863470524590813.05 87.12% 1 0.6401576072456983.05 87.12% 1 0.5981542121714613.17 64.25% 0.5 0.5437211848754411.72 0.5 0.2950159110365171.34 14.53% 0.5 0.2298379772028681.93 0 0.3310352955235331.17 0 0.2006794278562353.16 63.73% 1 0.5420059760903451.79 1 0.3070223725321891.38 17.95% 1 0.236698812343252

4 123.46% 0.5 0.6860835140384111.89 -2.07% 0.5 0.3241744603831491.47 25.64% 0.5 0.2521356914091162.37 0 0.4065044820677581.03 0 0.1766665048648914.38 84.81% 1 0.751261447872062.45 1 0.420226152348527

2 94.17% 1 0.3430417570192052 0 0.406557814090871

1.5 0 0.3049183605681531.28 0 0.2601970010181571.12 0 0.4065578140908712.5 25.00% 0.5 0.278063999160024

1.75 16.67% 0.5 0.2372812792832211.5 17.19% 0.5 0.278063999160024

1.26 12.50% 0.5 0.233573759294422.83 41.50% 0.75 0.517548246341315

2 33.33% 0.75 0.3657584779797281.58 23.44% 0.75 0.288949197603985

1.36 21.43% 0.75 0.2487157650262151.23 0.00% 0.75 0.2249414639575322.16 44.00% 0.75 0.3950191562181063.09 54.50% 1 0.5641542342303212.16 44.00% 1 0.394360241403721.68 31.25% 1 0.3067246322028931.46 30.36% 1 0.2665583113191811.15 0.75 0.2533752733125581.5 0.00% 0.75 0.3304894869294242 33.33% 0.75 0.440652649239232

1.53 2.00% 0.75 0.2647391666287882.5 66.67% 0.75 0.432580337628739

2.86 90.67% 0.75 0.4948719062472785.86 0 0.614632717431916.99 19.28% 0.5 0.7311459486651447.27 24.06% 0.75 0.7604336261510154.85 1 #REF!5.96 0 #REF!6.6 22.61% 1 0.986063602700875

8.65 45.13% 1 0.8782744328405812.16 0 0.2120093792232144.48 107.41% 1 0.4440216281746163.99 84.72% 1 0.4486262216206983.21 48.61% 0.5 0.3549182901246943.8 75.93% 0.5 0.420152492982504

4.13 91.20% 0.75 0.4655460921472723.56 64.81% 0.75 0.4012939680494643.33 54.17% 1 0.4026393188110562.98 37.96% 0.75 0.3603198708879721.74 0 0.2623148697826542.11 21.26% 0.25 0.308103075821212.31 32.76% 0.51 0.349438909521272.98 71.26% 0.76 0.4287880749863714.03 0 0.6309209732682885.38 33.50% 0.25 0.8381730015829225.76 42.93% 0.76 0.9073397978072291.5 0 0.236874915695575

1.57 4.67% 0.25 0.2482387963232182.06 37.33% 0.76 0.3311400712236832.3 0 0.363208204066548

2.07 -10.00% 0.25 0.3272957378274272.77 20.43% 0.76 0.4452708724706811.44 0 0.225440744790654

1.58 9.72% 0.25 0.2461548963756542.25 56.25% 0.76 0.3544296085184491.15 0 0.2029762965152352.13 85.22% 0.5 0.3469036971067231.77 0.5 0.288272086328122

1 0 0.1765011274045521.42 42.00% 0.5 0.2312691314044821.84 11.52% 0.5 0.299672677312852.86 73.33% 0.5 0.4657955745188862.81 70.30% 0.5 0.4576522952440811.65 0 0.2912268602175112.65 60.61% 0.5 0.4315938015647022.53 120.00% 0.5 0.4061670216604691.61 -2.42% 0.5 0.2584699228748442.05 105.00% 0.5 0.3291076657723171.7 3.03% 0.5 0.272918552103873

1.78 7.88% 0.5 0.2857617780852312.74 66.06% 0.5 0.4398804898615361.53 0 0.2352454580473662.74 0 0.4168777243233762.94 7.30% 0.9 0.4217248532536961.1 0 0.1681399061418291.1 0 0.1681399061418292.9 163.64% 0.75 0.4332703708837182.8 154.55% 0.75 0.4183300132670383 172.73% 1 0.486025176756251

3.1 181.82% 1 0.5022260159814593.5 218.18% 1 0.5670293728822932.6 136.36% 1 0.4212218198554172.6 136.36% 1.5 0.4669737852696153.4 209.09% 1.5 0.6106580268910353.3 200.00% 1.5 0.4924824621254183.3 200.00% 1.5 0.4924824621254183 172.73% 1 0.427699461384151

3.8 245.45% 1 0.5417526510865913.3 200.00% 0.75 0.5014989080091913.3 200.00% 0.75 0.5014989080091912.9 123.08% 0.75 0.4068798116180772.7 107.69% 0.75 0.3788191349547622.8 115.38% 0.75 0.522657375062592.8 115.38% 0.75 0.522657375062592.7 107.69% 0.75 0.4151390436129982.8 115.38% 0.75 0.430514563746813

2.1 61.54% 0.75 0.3859876765992491.8 38.46% 0.75 0.3308465799422143.5 169.23% 1.5 0.5252626970392063.4 161.54% 1.5 0.5197051644383821.3 0 0.213718683496965

3.37 0 0.5664065537939965.48 62.61% 1 0.9184500867209681.3 0 0.224271306786265

4.03 210.00% 1 0.6301492042047681.19 0 0.2037838542120962.9 143.70% 1 0.483333333333333

2.49 0 0.4121477325239794.91 97.19% 1 0.7986115596962161.22 0 0.2110992047628253.11 154.92% 1 0.5405630945731511.06 0 0.1764218063041312.92 175.47% 1 0.4873440040392212.15 0 0.3515625928401544.63 115.35% 1 0.77490218050781.02 0 0.1780997254212422.83 177.45% 1 0.4818111964094521.03 0 0.1771653859095992.01 95.15% 1 0.352577323761426

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Modelo de Rotura MANSUR (1986)

CortanteCortanteCortanteCortanteCortanteCortanteCortanteCortanteFlexiónFlexión

Flexión

CortanteCortanteCortanteCortanteCortanteCortanteFlexiónFlexión

CortanteCortanteCortanteFlexión

CortanteCortanteCortanteCortante 3.5136Flexión 3.5425Flexión 3.395

Cortante 1.2546Cortante 2.3147Flexión 3.4854

CortanteCortante

CortanteCortante

Flexion-CortanteFlexion-Cortante

Cortante 1.4421Flexión 1.854Flexión

Cortante 1.4058FlexiónFlexión

CortanteCortanteFlexión

Cortante 0.8965Cortante 1.7995Cortante 2.4705Flexión

Cortante 1.5996Flexión

CortanteCortanteFlexiónFlexiónFlexión

CortanteCortanteCortanteCortanteCortanteCortanteCortante 2.2295Cortante 2.12Cortante 1Cortante 0.945Cortante 0.9088Cortante 0.8848Cortante 1.4Cortante 1.5575Cortante 1.515Flexión 1.4238


Flexión 1.5912Flexión 1.3776

Cortante 1.7928Cortante-Flexión 1.9158Cortante-Flexión 1.7928

Flexión 1.764Flexión 1.7374Flexión 1.1845


Cortante-Flexión 1.925Cortante-Flexión 2.0878

Cortante 1.6994Cortante 2.7261Cortante 3.1988CortanteCortante 1.788Cortante 2.97CortanteCortante 1.6632CortanteCortanteCortante 2.6643Cortante 2.66Cortante 3.1388Cortante 3.1684CortanteCortante 3.129Cortante 1.3572CortanteCortante 1.9866Cortante 2.384CortanteCortanteCortanteCortante 1.2CortanteCortante 2.06Cortante 1.265CortanteCortante 2.1329Cortante 1.1664

CortanteCortante 2.07Cortante 1.1385Cortante 1.7892Cortante 1.8231Cortante 1.13CortanteCortante 1.8032Cortante 1.8018Cortante 1.7984Cortante 1.1385Cortante 1.802Cortante 1.8216Cortante 1.8032Cortante 1.804Cortante 1.819Cortante 1.8334Cortante 1.8358CortanteCortanteCortante

Tension diagonal 1.265Tension diagonal 1.309

Cortante a compresion + Cortante a tension 2.001 Cortante a tension + Tension diagonal 2.072 Cortante a tension + Tension diagonal 2.1 Cortante a tension + Tension diagonal 2.108

Cortante 2.17Cortante 2.21

Cortante a tension + Tension diagonal 2.444Cortante a compresion + Cortante a tension 2.414

Cortante a tension + Tension diagonal 2.871 Cortante a tension + Tension diagonal 2.871

Tension diagonal 2.97 Cortante a tension + Tension diagonal 2.964 Cortante a tension + Tension diagonal 2.31 Cortante a tension + Tension diagonal 2.376 Cortante a tension + Tension diagonal 2.117

Tension diagonal 2.16Cortante a compresion + Cortante a tension 1.932

Tension diagonal 1.96Flexión 1.917

Cortante a tension + Tension diagonal 1.96

Cortante a tension + Tension diagonal 1.89Cortante a compresion + Cortante a tension 1.944

Cortante a tension + Tension diagonal 2.8Tension diagonal 3.468Tension diagonal 1.131

CortanteCortanteCortanteCortanteCortanteCortanteCortanteCortanteCortanteCortanteCortanteCortanteCortanteCortanteCortanteFlexión

CortanteFlexión

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3.76 3.26 2.553.23908174692049 2.52150055991041 1.31556550951848

2.89 2.52 1.16

5.33 11.07 9.624.49 4.19 3.784.29 2.52 2.223.61 2.33 1.947.29 11.61 11.756.13 4.7 4.574.57 3.09 2.624.13 2.94 2.36.8 12.27 13.99

5.74 5.27 5.424.68 3.61 2.994.17 3.48 2.643.81 5.64 5.283.77 3.39 3.042.82 3.1 2.67

3.3489 3.7881 3.23913.3245 3.7605 3.27

3.36 3.395 2.82.6199 1.3407 1.38992.6077 2.5491 2.16822.669 3.7052 3.0144

NARAYAN AND DARWISH (1987)

3.1625 1.4927 1.41682.6883 2.0703 1.8231

2.9502 1.4058 1.287

1.6952 1.0269 1.07581.9215 2.318 1.98252.0435 3.111 2.562

2.4424 1.8576 1.4964

2.45 2.8665 2.3522.24 2.46 2.1

2.01 0.915 1.0351.8816 0.832 0.94721.7808 0.7728 0.8848

2.205 1.645 1.45252.07 1.56 1.335

2.24 1.94 1.64

2.2248 2.1168 1.8576

1.845 1.8 1.5151.86 1.98 1.72

2.3452 2.1736 1.91623.223 2.2854 2.051

3.2154 3.2154 2.7963.2715 3.635 3.1261

3.3972 2.4436 2.14563.366 3.498 3.036

3.348 2.0304 1.8792

3.3384 2.9532 2.53593.344 2.964 2.546

3.3453 3.3453 2.84973.3464 3.382 2.8836

3.3078 3.3078 2.80122.5578 1.653 1.6182

2.5641 2.3793 2.14832.682 2.7714 2.4436

2.67 1.29 1.215

2.6162 2.3484 1.81282.645 1.518 1.403

2.6038 2.5761 2.07752.376 1.1376 1.1952

2.3625 2.1825 1.86752.185 1.2995 1.3455

2.3643 2.1087 1.89572.3895 2.1948 1.9647

2.18 1.27 1.33

2.392 2.1344 1.91362.3738 2.1164 1.91622.3885 2.1075 1.91082.1945 1.3035 1.3532.385 2.12 1.908

2.4035 2.1252 1.89752.4311 2.0447 1.81932.3985 2.091 1.8862.414 2.142 1.921

2.4208 2.136 1.92242.4112 2.1372 1.918

2.497 1.408 1.4412.574 1.452 1.4852.552 2.146 1.8272.632 2.212 1.8762.34 2.28 1.92

2.387 2.325 1.9532.415 2.52 2.172.444 2.548 2.212.184 2.938 2.4962.176 2.924 2.4822.607 3.135 2.642.64 3.135 2.642.73 3.18 2.67

2.736 3.154 2.662.541 2.475 2.0462.574 2.541 2.1122.726 2.262 1.9142.754 2.268 1.9172.072 2.296 1.932

2.1 2.324 1.962.484 1.998 1.6742.52 2.044 1.708

2.058 2.142 1.7222.106 2.196 1.7822.59 2.94 2.382.55 3.638 2.89

2.353 1.079 1.157

0 0.5 1 1.5 2 2.50

0.5

1

1.5

2

2.5

3

3.5

4 Mansur (1986)

Vf %

Expe

rimen

tal/

Prev

isto

0 0.5 1 1.5 2 2.50

0.5

1

1.5

2

2.5

3

3.5

4 Mansur (1986)

Vf %

Expe

rimen

tal/

Prev

isto

0 0.5 1 1.5 2 2.50

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8


Vf %

Expe

rimen

tal/

Prev

isto

0 0.5 1 1.5 2 2.50

0.5

1

1.5

2

2.5

3

3.5

4

4.5


Vf %

Expe

rimen

tal/P

revi

sto

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 50

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

2KWAK ET AL (2002)

Vprevisto

Expe

rimen

tal

0 0.5 1 1.5 2 2.50

0.5

1

1.5

2

2.5

3

3.5

4

4.5


Vf %

Expe

rimen

tal/P

revi

sto

0 0.5 1 1.5 2 2.50

0.5

1

1.5

2

2.5

3

3.5

HAI H. DISH; GUSTAVO J. PARRA-MONTESINOS; JAMES K.WIGHT

Vf %

Expe

rimen

tal/

Prev

isto

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 50

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

2KWAK ET AL (2002)

Vprevisto

Expe

rimen

tal

0 0.5 1 1.5 2 2.50

0.5

1

1.5

2

2.5

3

3.5


Vf %

Expe

rimen

tal/

Prev

isto

KHUNTIA ET AL. (2002) KWAK ET AL (2002)

3.0195 4.392 3.51362.9975 4.4145 3.488

3.01 3.92 2.8351.0701 1.8819 0.46742.0217 3.0179 2.22683.0772 4.0192 2.7318


1.3156 1.9734 1.06261.6377 3.07768924302789 2.2248

3.675675675675681.3266 1.584 1.1088

2.20898258478462.759315206445123.686131386861312.459016393442621.84331797235023

0.7009 1.2062 0.76611.525 2.501 2.1962.135 3.2025 2.257

1.4104 2.3392 1.4792

1.8375 3.3565 2.0091.84 2.5 2.06

0.825 1.29 0.6150.8192 0.9728 0.67840.8176 0.9072 0.7392

1.3125 2.03 1.52251.305 1.635 1.575

1.54 2.3 1.76

1.5336 2.5272 1.7928

1.275 2.085 1.531.28 2.3 1.66

1.6016 2.6312 2.03061.4064 2.637 2.932.3067 3.495 4.12412.6899 3.8531 4.4347

1.3708 3.278 2.3842.442 4.29 3.696

1.3824 2.7648 0.864

2.2791 3.6273 2.15072.28 3.648 2.356

2.7258 4.0061 2.60192.7412 3.9872 2.4564

2.7118 3.8144 2.2351.1136 1.8444 0.8526

1.6632 2.5179 1.91732.0562 2.8906 2.3542

1.065 1.845 0.51

1.8334 2.8016 1.7511.058 2.116 0.828

1.8282 3.1024 1.9391.0656 1.3392 0.8208

1.665 2.0925 1.28250.943 1.4375 0.5635

1.5336 2.2365 1.83181.5399 2.3364 1.6638

0.95 1.42 0.49

1.5456 2.2632 1.69281.5444 2.2594 2.11641.5455 2.2761 2.10750.9405 1.4685 0.80851.537 2.279 2.014

1.5686 2.2517 2.0241.5617 2.2057 1.611.558 2.2345 1.8041.564 2.278 1.632

1.5664 2.2962 1.67321.5618 2.2742 2.055

1.078 1.628 0.5171.111 1.683 0.5171.769 2.262 2.3491.848 2.324 2.3521.86 2.34 2.4

1.891 2.387 2.481.89 2.59 2.66

1.924 2.626 2.2882.106 2.886 2.212.074 2.856 2.5842.508 3.135 2.5412.508 3.168 2.5412.61 3.21 2.58

2.584 3.192 2.8882.079 2.541 2.7062.112 2.607 2.7391.914 2.378 2.2911.917 2.403 2.2141.708 2.296 2.2121.736 2.352 2.241.728 2.079 2.0251.764 2.128 2.072

1.68 2.142 1.9111.728 2.196 1.8362.485 2.94 2.663.094 3.502 2.7541.014 1.274 0.637

PROMEDIODesviacion EstandarCoef. de Variacion %

0 0.5 1 1.5 2 2.50

0.5

1

1.5

2

2.5

3

3.5

4 Mansur (1986)

Vf %

Expe

rimen

tal/

Prev

isto

0 0.5 1 1.5 2 2.50

0.5

1

1.5

2

2.5

3

3.5

4 Mansur (1986)

Vf %

Expe

rimen

tal/

Prev

isto

0 0.5 1 1.5 2 2.50

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8


Vf %

Expe

rimen

tal/

Prev

isto

0 0.5 1 1.5 2 2.50

0.5

1

1.5

2

2.5

3

3.5

4

4.5


Vf %

Expe

rimen

tal/P

revi

sto

0 0.5 1 1.5 2 2.50

0.5

1

1.5

2

2.5

3

3.5

4

4.5


Vf %

Expe

rimen

tal/P

revi

sto

0 0.5 1 1.5 2 2.50

0.5

1

1.5

2

2.5

3

3.5


Vf %

Expe

rimen

tal/

Prev

isto

23

456

0 0.5 1 1.5 2 2.50

0.5

1

1.5

2

2.5

3

3.5


Vf %

Expe

rimen

tal/

Prev

isto

8

823

456

8

823

456

8

823

456

8

823

456

8

8

456

8

823

456

8

823

456

8

8

Vexperimental/Vprevisto

MANSUR (1986)

0.45 0.520.27 0.35

0.19 0.22

1.71 0.821.07 1.150.53 0.900.54 0.841.75 1.100.99 1.290.69 1.030.47 0.672.05 1.141.26 1.370.75 0.970.47 0.571.77 1.191.03 1.141.04 0.95

1.56 1.64 1.451.54 1.64 1.451.03 1.04 1.030.98 0.47 0.921.27 1.12 1.150.90 1.18 0.85

SHARMA (1986)


1.75 0.80 1.691.67 1.15 1.49

1.41 0.67 1.41

1.82 0.96 1.591.69 1.59 1.321.23 1.49 0.98

1.08 0.70 0.93

1.10 1.00 0.850.94 0.89 0.812.001.59 0.75 1.641.41 0.68 1.541.27 0.63 1.451.791.12 0.79 1.060.99 0.72 0.960.881.611.16 0.89 1.030.98

0.850.891.20 0.97 1.021.611.200.950.840.970.97 0.81 0.831.23 1.08 1.010.821.301.37 1.22 1.323.45 1.82 2.562.56 2.17 2.172.27 2.22 2.00

3.33 1.75 2.442.22 1.96 1.89

1.30 0.65 1.06

1.20 0.96 1.091.43 1.14 1.281.32 1.23 1.231.12 1.06 1.05

0.95 0.90 0.901.28 0.68 1.05

1.16 0.90 0.971.25 1.11 1.08

1.25 0.56 1.16

1.00 0.79 0.881.82 0.87 1.52

1.30 1.06 1.081.23 0.61 1.27

1.09 0.95 1.031.01 0.53 0.881.19 0.90 1.010.97 0.74 0.810.88 0.46 0.79

1.02 0.77 0.861.59 1.20 1.351.56 1.18 1.331.45 0.75 1.271.47 1.11 1.251.39 1.05 1.190.89 0.66 0.791.14 0.85 0.980.93 0.70 0.790.97 0.74 0.831.49 1.14 1.28

0.87 0.44 0.780.84 0.43 0.761.45 1.14 1.351.35 1.06 1.271.43 1.28 1.321.47 1.30 1.331.61 1.45 1.391.18 1.06 1.021.06 1.19 0.881.41 1.56 1.161.15 1.27 1.051.15 1.25 1.051.01 1.10 0.941.28 1.39 1.201.43 1.30 1.331.39 1.28 1.301.37 1.06 1.281.25 0.98 1.191.45 1.35 1.221.43 1.33 1.201.41 1.09 1.351.43 1.11 1.37

1.11 1.02 0.980.93 0.85 0.821.25 1.35 1.190.98 1.33 0.931.15 0.55 1.20

0.55

0.79

1.03

0.62

0.93

1.03

0.65

1.32 1.05 1.190.44 0.41 0.36

33.10 38.74 29.84

0 0.5 1 1.5 2 2.50

0.5

1

1.5

2

2.5

3

3.5

4 Mansur (1986)

Vf %

Expe

rimen

tal/

Prev

isto

0 0.5 1 1.5 2 2.50

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

2SHARMA (1986)

Vf %

Expe

rimen

tal/

Prev

isto

0 0.5 1 1.5 2 2.50

0.5

1

1.5

2

2.5

3

3.5

4 Mansur (1986)

Vf %

Expe

rimen

tal/

Prev

isto

0 0.5 1 1.5 2 2.50

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

2SHARMA (1986)

Vf %

Expe

rimen

tal/

Prev

isto

0 0.5 1 1.5 2 2.50

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8


Vf %

Expe

rimen

tal/

Prev

isto

0 0.5 1 1.5 2 2.50

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8


Vf %

Expe

rimen

tal/

Prev

isto

0 0.5 1 1.5 2 2.50

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

2KWAK ET AL (2002)

Vf %

Expe

rimen

tal/

Prev

isto

0 0.5 1 1.5 2 2.50

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

2KWAK ET AL (2002)

Vf %

Expe

rimen

tal/

Prev

isto

108

453

421

108

453

421

108

453

421

108

453

421

108

453

421

108

453

421

108

453

421

108

4532

0.31 0.660.33 0.68

0.31 0.48

0.96 0.941.02 1.280.98 1.021.26 1.011.13 1.081.08 1.331.12 1.211.03 0.851.05 1.001.09 1.331.06 1.170.88 0.751.17 1.271.35 1.281.53 1.10

1.69 1.82 1.25 1.56 edicion especial no hay en biblioteca1.67 1.82 1.23 1.561.25 1.16 0.89 1.230.88 1.15 0.65 2.631.35 1.45 0.97 1.321.04 1.02 0.78 1.15

ASHOUR ET. AL (1992) 1

ASHOUR ET. AL (1992)

KHUNTIA ET AL. (2002)

KWAK ET AL (2002)


1.1520.986

1.79 1.92 1.28 2.381.69 1.89 1.00 1.39

0.931.54 1.49 1.25 1.79

1.0910.9931.0961.0371.085

1.52 2.33 1.35 2.131.54 2.00 1.22 1.391.19 1.43 0.95 1.35

no hay en la biblioteca1.15 1.22 0.74 1.16

1.04 1.33 0.73 1.220.95 1.09 0.80 0.97

1.45 1.82 1.16 2.441.35 1.56 1.32 1.891.27 1.37 1.23 1.52

1.20 1.33 0.86 1.151.12 1.15 0.92 0.95

1.22 1.30 0.87 1.14

1.16 1.41 0.85 1.20

0.99 1.18 0.72 0.981.16 1.56 0.87 1.20

1.49 1.79 1.09 1.412.86 4.17 2.22 2.002.50 3.03 2.00 1.692.33 2.70 1.89 1.64

2.78 4.35 1.82 2.502.17 2.70 1.54 1.79

1.15 1.56 0.78 2.50

1.27 1.41 0.88 1.491.49 1.67 1.04 1.611.45 1.52 1.03 1.591.23 1.30 0.89 1.45

1.06 1.10 0.78 1.331.08 1.56 0.94 2.04

1.08 1.39 0.92 1.201.22 1.45 1.03 1.27

1.23 1.41 0.81 2.94

1.14 1.12 0.74 1.181.64 2.17 1.09 2.78

1.33 1.52 0.89 1.431.20 1.35 1.08 1.75

1.20 1.35 1.08 1.750.85 1.22 0.80 2.041.12 1.39 0.95 1.160.90 1.15 0.76 1.060.75 1.05 0.70 2.04

0.96 1.19 0.81 1.091.49 1.85 1.27 1.351.47 1.82 1.23 1.331.22 1.75 1.12 2.041.39 1.72 1.16 1.321.33 1.61 1.12 1.250.88 1.03 0.73 1.001.09 1.32 0.92 1.140.88 1.09 0.75 1.040.93 1.14 0.78 1.061.43 1.75 1.20 1.33

buscar en biblioteca

0.76 1.02 0.68 2.130.74 0.99 0.65 2.131.59 1.64 1.28 1.231.49 1.52 1.20 1.191.56 1.61 1.28 1.251.59 1.64 1.30 1.251.61 1.85 1.35 1.321.18 1.35 0.99 1.141.04 1.23 0.90 1.181.37 1.64 1.19 1.321.25 1.32 1.05 1.301.25 1.32 1.04 1.301.12 1.15 0.93 1.161.43 1.47 1.19 1.321.61 1.59 1.30 1.221.56 1.56 1.27 1.201.52 1.52 1.22 1.271.41 1.41 1.12 1.221.45 1.64 1.22 1.271.43 1.61 1.19 1.251.61 1.56 1.30 1.331.64 1.59 1.32 1.35

1.22 1.25 0.98 1.101.01 1.04 0.82 0.981.47 1.41 1.19 1.321.18 1.10 0.97 1.231.12 1.28 1.02 2.04

0.98 1.35 1.56 1.06 1.490.34 0.39 0.56 0.28 0.45

34.47 28.67 35.75 26.12 30.22

0 0.5 1 1.5 2 2.50

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

2SHARMA (1986)

Vf %

Expe

rimen

tal/

Prev

isto

0 1 2 3 4 5 6 70

0.5

1

1.5

2

2.5

3

3.5

4 Mansur (1986)

a/d

Expe

rimen

tal/

Prev

isto

0 0.5 1 1.5 2 2.50

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

2SHARMA (1986)

Vf %

Expe

rimen

tal/

Prev

isto

0 0.5 1 1.5 2 2.50

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8


Vf %

Expe

rimen

tal/

Prev

isto

0 0.5 1 1.5 2 2.50

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

2KWAK ET AL (2002)

Vf %

Expe

rimen

tal/

Prev

isto

0 1 2 3 4 5 6 70

0.5

1

1.5

2

2.5

3

3.5

4 Mansur (1986)

a/d

Expe

rimen

tal/

Prev

isto

0 1 2 3 4 5 6 70

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8


a/d

Expe

rimen

tal/

Prev

isto

0 1 2 3 4 5 6 70

0.5

1

1.5

2

2.5

3

3.5

4

4.5


a/d

Expe

rimen

tal/

Prev

isto

0 0.5 1 1.5 2 2.50

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

2KWAK ET AL (2002)

Vf %

Expe

rimen

tal/

Prev

isto

0 1 2 3 4 5 6 70

0.5

1

1.5

2

2.5

3

3.5

4

4.5


a/d

Expe

rimen

tal/

Prev

isto

0 0.5 1 1.5 2 2.50

0.5

1

1.5

2

2.5

3

3.5


a/d

Expe

rimen

tal/

Prev

isto

0 0.5 1 1.5 2 2.50

0.5

1

1.5

2

2.5

3

3.5


a/d

Expe

rimen

tal/

Prev

isto

1.68 3.260.893 2.53

0.56 2.52

9.09 11.074.82 4.192.27 2.521.95 2.33

12.74 11.616.06 4.73.17 3.091.96 2.94

13.95 12.277.21 5.273.51 3.611.98 3.486.73 5.643.88 3.392.93 3.1

edicion especial no hay en biblioteca

3.025.095.442.533.09

3.41.982.412.744.042.55

2

0 1 2 3 4 5 6 70

0.5

1

1.5

2

2.5

3

3.5

4 Mansur (1986)

a/d

Expe

rimen

tal/

Prev

isto

0 1 2 3 4 5 6 70

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

2SHARMA (1986)

a/d

Expe

rimen

tal/

Prev

isto

0 1 2 3 4 5 6 70

0.5

1

1.5

2

2.5

3

3.5

4 Mansur (1986)

a/d

Expe

rimen

tal/

Prev

isto

0 1 2 3 4 5 6 70

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

2SHARMA (1986)

a/d

Expe

rimen

tal/

Prev

isto

0 1 2 3 4 5 6 70

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8


a/d

Expe

rimen

tal/

Prev

isto

0 1 2 3 4 5 6 70

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8


a/d

Expe

rimen

tal/

Prev

isto

0 1 2 3 4 5 6 70

0.5

1

1.5

2

2.5

3

3.5

4

4.5


a/d

Expe

rimen

tal/

Prev

isto

0 1 2 3 4 5 6 70

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

2KWAK ET AL (2002)

a/d

Expe

rimen

tal/

Prev

isto

0 1 2 3 4 5 6 70

0.5

1

1.5

2

2.5

3

3.5

4

4.5


a/d

Expe

rimen

tal/

Prev

isto

0 1 2 3 4 5 6 70

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

2KWAK ET AL (2002)

a/d

Expe

rimen

tal/

Prev

isto

0 0.5 1 1.5 2 2.50

0.5

1

1.5

2

2.5

3

3.5


a/d

Expe

rimen

tal/

Prev

isto

0 0.5 1 1.5 2 2.50

0.5

1

1.5

2

2.5

3

3.5


a/d

Expe

rimen

tal/

Prev

isto

Vexperimental/Vprevisto

MANSUR (198

1.056029228 0.6610757 0.5094927 0.580676681.294498533 1.28894726 0.729520329 0.685638486

#VALUE! 1.590206243 #VALUE! #VALUE!0.879583244 0.554226618 0.415892765 0.4740572651.148458377 0.948658129 0.596926104 0.6128036690.955198826 1.062740407 0.568941119 0.5097328891.280220246 1.261473926 0.695430006 0.660286804

proposed #REF! 1.331760931 #REF! #REF!3.76 5.36 2.55 0.451664706 0.53845464 0.449072047 0.5669162833.25 2.68 1.32 0.243568481 0.338373636 0.299750592 0.606694138

2.89 1.8 1.16 0.153438812 0.234178079 0.18930825 0.4356708

5.33 9.42 9.62 1.839942488 2.365174004 0.788801835 0.8636066664.49 4.71 3.78 1.268082334 1.488483301 1.066546115 1.1612545534.29 2.32 2.22 0.715569816 0.850283348 0.816302343 0.9462765273.61 1.55 1.94 0.652981543 0.806454491 0.75155745 0.9290654717.29 11.25 11.75 2.150566236 3.378623425 1.039786526 0.9496348716.13 5.63 4.57 1.266900183 1.908358351 1.164242553 1.1554898424.57 2.84 2.62 0.746560491 1.174543102 0.897366502 1.0840690344.13 1.91 2.3 0.476798587 0.791409116 0.579753621 0.76189062

6.8 13.27 13.99 1.997306114 3.678345352 1.064320102 0.8490871145.74 6.64 5.42 1.232778476 2.255176085 1.209781974 1.1281606734.68 3.32 2.99 0.664537155 1.303195302 0.829064174 1.0223969594.17 2.24 2.64 0.381418552 0.796321562 0.483127261 0.6547464913.81 5.76 5.28 1.228132301 2.128300347 1.087496955 1.1166069253.77 2.88 3.04 0.856385982 1.465690627 1.010800072 1.1411666622.82 1.92 2.67 #REF! 1.216840975 #REF! #REF!

1.21806249 1.951358867 1.41612184 1.5817091081.209187718 1.937141316 1.405804012 1.570184815

#REF! 1.244035708 #REF! #REF!0.786190392 0.665927857 0.966742488 0.8546412671.121007238 1.594063546 1.181186963 1.317499241

#VALUE! 1.647128059 #VALUE! #VALUE!0.845543056 0.749995121 0.713487871 0.737706071.234546616 1.74688966 1.026884938 0.947536658

SHARMA (1986)



#REF! 1.693946932 #REF! #REF!1.611237358 1.17580371 1.392850413 1.4648011291.964393302 1.963009913 1.726591026 1.771662826


#VALUE! 1.398051014 #VALUE! #VALUE!1.260313793 0.916066401 1.57193489 1.5010035331.053398917 1.10447435 1.222397433 1.4428008511.004973933 1.210981298 1.171277132 1.461889652.034217199 2.448702415 1.695839019 1.6453359721.428704706 1.708779144 1.531021732 1.650730353

#REF! 1.440517443 #REF! #REF!1.257340391 1.573734639 1.643145161 1.4683954251.133378465 2.504031776 1.021454525 1.198854768

#REF! 2.287396796 #REF! #REF!1.553365932 1.66999353 1.009651863 0.8840749770.962514281 1.033484114 0.968869171 1.116131894

#VALUE! 0.870071214 #VALUE! #VALUE!#VALUE! 1.01674685 #VALUE! #VALUE!

0.973692889 0.759689045 1.303626691 1.0915579861.249818493 1.664725412 0.839869159 0.6580633170.786943283 1.075544514 0.761021738 0.9452953350.633933126 0.896043489 0.65015843 0.8080685331.497569172 2.107247357 0.918740788 1.1155520220.875236615 1.1356308 0.859406045 1.226447256

#VALUE! 0.954481108 #VALUE! #VALUE!#VALUE! 1.248544059 #VALUE! #VALUE!

0.698434857 0.668786082 0.874190389 0.7618137581.386676002 2.307435855 0.880122514 0.7566422120.925557423 1.472114 0.882555683 1.025725625

#REF! 1.298613752 #REF! #REF!#VALUE! 1.421121533 #VALUE! #VALUE!#VALUE! 1.159376497 #VALUE! #VALUE!#VALUE! 1.053487338 #VALUE! #VALUE!

1.064267647 0.96922569 1.526449414 1.2196773721.317246908 1.570927531 1.117005492 1.0681475731.010885173 1.196151529 1.099517983 1.1747297670.915459303 1.09175585 0.996079135 1.094803790.797684094 0.964256017 0.867833966 0.983188041.319644592 1.746427031 1.10816683 1.0362416541.011237337 1.342536228 1.058209303 1.192380093

0.83813369 1.129377737 0.875709966 1.024205058

0.744719194 1.022135772 0.77703784 0.9425182020.682341765 0.825374266 0.709309015 0.8739887350.988014725 1.449939126 1.037908532 1.1269934231.300405204 1.902636298 1.084609919 0.9939184090.977622977 1.446715247 0.993673611 1.163856869

0.79364839 1.198187284 0.8045995 0.9842381920.709475817 1.094853029 0.717803969 0.9144601730.748055719 0.989265731 0.716286399 0.887959905

0.87592367 1.290792963 0.851506334 0.97178631.041175827 1.721057284 1.024219174 1.133946117

0.80890479 0.953645706 0.858358535 1.0599496861.209713119 1.558783648 1.289784496 1.453174693

#REF! 1.783248493 #REF! #REF!2.081743942 2.14782368 2.44596927 2.5464427881.762806268 2.554977204 2.098938724 2.3121181551.903804088 2.6573225 2.255247837 2.480045489



1.30467788 1.448968163 1.308458483 1.4307489591.274625378 1.689213772 1.299675835 1.4280963571.234826293 1.298564079 1.230551005 1.35245777

0.90186997 1.251337223 0.936668584 1.057154452#REF! 1.224602087 #REF! #REF!

0.999315795 0.951919104 1.1024011 1.0351552211.00764663 1.106249631 1.048810639 1.070327822

0.976945736 1.269531849 0.999717779 1.051979221#VALUE! 1.532042297 #VALUE! #VALUE!

3.397711711 1.895094941 1.345738527 1.4535506423.611960658 2.513526683 1.543055444 1.544613643

#VALUE! 2.730979798 #VALUE! #VALUE!1.324419516 0.803510296 1.24053181 1.191939073


1.913403847 1.234411641 1.602311048 1.5869815291.384791272 1.112821324 1.125104723 1.236381836

#VALUE! 1.522302218 #VALUE! #VALUE!1.132467546 0.861537592 1.34541778 1.15936042


0.896000422 0.778515037 0.925135276 0.8234101421.103469164 1.29536221 1.044771657 1.09626194


#VALUE! 1.692908637 #VALUE! #VALUE!1.434442828 1.106544007 1.353652238 1.1708550361.474625185 1.596515263 1.315406653 1.3517034421.295592856 1.509403052 1.231847445 1.292689019

0.88482695 0.951538051 0.793225016 0.8570224071.123733081 1.223223844 1.009434736 1.0602782770.934289326 1.004729619 0.837566787 0.8608416530.978255882 1.052011013 0.876981695 0.901351848

#REF! 1.619387739 #REF! #REF!#VALUE! 0.733961334 #VALUE! #VALUE!

1.776537675 1.296094677 1.310948757 1.037290426#REF! 1.285676817 #REF! #REF!

#VALUE! 0.611726142 #VALUE! #VALUE!0.786474075 0.611726142 0.807477842 0.72219081.385978876 1.564370159 1.386268762 1.5137782671.338186501 1.51042636 1.338466391 1.4615790171.376668417 1.812000388 1.333937169 1.4994221971.422557364 1.872400401 1.378401741 1.549402937

1.54107817 2.114000453 1.451108682 1.5829586871.144800926 1.570400336 1.077966449 1.1759121671.034702273 1.792774858 0.917516376 1.0362627121.353072203 2.344397892 1.199829107 1.3551127771.117689037 1.777501245 1.089882517 1.2273141790.900207568 1.777501245 0.884798272 1.0244215170.987281645 1.52033066 0.982262637 1.106461231.259086318 1.925752169 1.252210571 1.4091477791.376624121 1.821023471 1.364829571 1.5486272861.600842922 1.821023471 1.593213332 1.7368969081.430564027 1.439283738 1.505027145 1.4778078271.121946344 1.34002279 1.179544504 1.2263285551.532407918 2.042790278 1.412372155 1.4355527171.815766741 2.042790278 1.725759457 1.636335487

1.46645821 1.520981277 1.528076863 1.5498059481.280093113 1.577313917 1.31563591 1.425413497

1.141702583 1.500877232 1.075768658 1.1523909341.161454864 1.286466199 1.13065377 1.1249229591.037656802 1.908972826 1.054508045 1.191455207

#VALUE! 1.900363818 #VALUE! #VALUE!#REF! 0.800686584 #REF! #REF!









0.910550771 0.736790496 1.188847596 0.998012421.805735956 1.475905012 2.367346453 1.973206596

0 1 2 3 4 5 6 70

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MANSUR (198SHARMA (1986NARAYAN AND

0.494079653 0.886763813 0.38868909 #DIV/0!0.615148656 1.205193158 0.581372984 2.70000057

#VALUE! #VALUE! #VALUE! 2.6698468370.413514927 0.74343696 0.317133971 #DIV/0!0.544914543 1.03306643 0.464549693 2.3403476810.457546081 0.902543471 0.457790324 2.4055200340.599140772 1.198925877 0.561854352 2.827920294

#REF! #REF! #REF! 2.458388780.277284057 0.438996109 0.442033615 1.09151457 2.238095238 1.940476190.294126778 0.259161398 0.382570415 0.57824284 3.639417693 2.833146697

0.276419947 0.162107845 0.258045169 0.36383819 5.160714286 4.5

0.902104106 1.788889676 0.64303591 3.23834494 0.586358636 1.2178217820.950728865 1.592465745 0.807734507 1.717142208 0.93153527 0.8692946060.909954922 0.88726899 0.755730682 0.808695603 1.889867841 1.1101321591.169689721 0.760598545 0.72359208 0.694694475 1.851282051 1.1948717951.011693631 2.154832048 0.859657049 4.229535932 0.572213501 0.911302983

0.95679741 1.555863442 0.925470207 2.011851459 1.011551155 0.7755775580.997779301 0.899586137 0.872878747 1.052404149 1.441640379 0.9747634070.916870769 0.547846436 0.586850112 0.650697826 2.107142857 1.50.913014718 2.028076429 0.885524319 4.428971666 0.487455197 0.8795698920.937788624 1.485217638 0.996203568 2.289095758 0.796116505 0.7309292650.914717503 0.788390787 0.834627691 1.114386419 1.333333333 1.0284900280.765874902 0.435416123 0.50500587 0.62862822 2.106060606 1.7575757581.039820591 1.735179717 0.900010671 1.627567467 0.566121842 0.8380386331.204862526 1.122576913 0.964495241 0.938330143 0.971649485 0.87371134

#REF! #REF! #REF! 0.708584369 0.962457338 1.0580204781.255389923 1.612287099 1.199129076 3.987224951 0.64 0.61 0.691.246243184 1.600540016 1.190392252 3.95817412 0.65 0.61 0.69

#REF! #REF! #REF! 2.541946346 0.97 0.96 0.970.710214149 1.147466545 0.690851148 0.814194437 1.02 2.13 1.090.912465247 1.45611299 1.008655133 1.046361662 0.79 0.89 0.87

#VALUE! #VALUE! #VALUE! 1.031483752 1.11 0.85 1.180.617587981 1.110990595 0.535516955 0.9995395120.772066015 1.522811978 0.847193085 1.249920037


KHUNTIA ET AL. (2002)

KWAK ET AL (2002)


#REF! #REF! #REF! 1.1563129461.048415334 1.840222913 0.980556491 3.4819944341.270175504 2.223987426 1.314631119 2.608061523

#VALUE! #VALUE! #VALUE! 2.6314279281.31223429 1.914771186 1.403046668 2.917035072 0.57 1.25 0.59

1.152043478 1.571853097 1.263579263 1.583282902 0.6 0.87 0.67#VALUE! #VALUE! #VALUE! 1.644642435

1.370651787 1.49851658 1.366829953 2.282897013 0.71 1.49 0.711.199219049 1.225943678 1.176046248 1.2348581941.172418715 1.158037233 1.162377449 1.3253883321.278659741 2.540568397 1.35186274 2.0700529981.205808238 1.866932591 1.322439712 1.306592836

#REF! #REF! #REF! 1.0247787081.468999408 2.313455404 1.412173387 #DIV/0! 0.55 1.04 0.630.863760345 1.549782042 1.003331213 2.365289341 0.59 0.63 0.76

#REF! #REF! #REF! 2.365289088 0.81 0.67 1.020.74168383 1.534075878 0.78227122 2.923485572

0.681031694 1.219074013 0.776434969 1.5862445 0.93 1.42 1.08#VALUE! #VALUE! #VALUE! 1.235795154#VALUE! #VALUE! #VALUE! #DIV/0!

0.941243212 1.201673221 1.109711083 #DIV/0!0.556380128 1.262154645 0.679785516 2.4505934920.533355634 0.968524834 0.658871418 1.3881526270.560714151 0.746683951 0.65998509 1.0701958950.906341592 1.935742433 0.798124558 3.688941060.724724681 1.339563886 0.702339556 1.743024525

#VALUE! #VALUE! #VALUE! 1.355685765#VALUE! #VALUE! #VALUE! #DIV/0!

0.790243774 1.057883263 0.773312764 #DIV/0! 1.11 2.18 1.190.752724907 1.749442198 0.774202445 3.3967090750.712537276 1.32563455 0.761567987 1.89998563 0.91 1 1.17

#REF! #REF! #REF! 1.551008743 1.06 1.12 1.23#VALUE! #VALUE! #VALUE! #DIV/0! 0.5#VALUE! #VALUE! #VALUE! #DIV/0! 0.63 1.34 0.61#VALUE! #VALUE! #VALUE! #DIV/0! 0.71 1.47 0.65

1.340549117 1.36330764 1.297448943 #DIV/0! 0.79 1.59 0.690.81826049 1.632353634 0.88488734 2.305588134 0.56

0.801895281 1.340528922 0.896732218 1.613911683 0.89 1.26 0.940.88372133 1.14902479 0.951660268 1.383352919 1.01 1.38 1.04

0.907287232 0.965180824 0.839646532 1.162016463 1.130.784703407 1.610247806 0.904764264 2.358334236 0.620.776384997 1.308617095 0.901471369 1.666667298 0.86 1.12 0.970.788585332 1.033807505 0.864350338 1.316667173 1.02

0.829622825 0.889859624 0.777444034 1.133333792 1.170.483165261 0.804799513 0.627424115 1.025000242 1.120.825340494 1.413306462 0.881267846 1.800000736 0.83 1.03 0.980.747268777 1.571858403 0.909851692 2.396308511 0.620.731307696 1.244038616 0.876730974 1.675089429 0.830.731307696 0.967585591 0.814303989 1.302847334 1.050.776772593 0.840877954 0.736455997 1.132236402 1.190.497217283 0.906530495 0.638872422 0.958333641 1.03

0.64006206 1.18243108 0.739817139 1.250000515 1.03 1.23 1.20.838721102 1.576574774 0.895938141 1.666667583 0.81 0.93 0.990.583151295 0.947188432 0.758066056 1.275000335 1.220.942010996 1.547693516 1.092856315 2.083334216 0.77

#REF! #REF! #REF! 2.383334489 0.73 0.82 0.762.622770753 3.680435434 2.097166952 1.698492362 0.29 0.55 0.392.224147374 2.663555369 1.909982556 1.541535284 0.39 0.46 0.462.401497831 2.916332219 2.038024364 1.563401184 0.44 0.45 0.5

#VALUE! #VALUE! #VALUE! 1.3243526542.159659517 3.623630625 1.625949424 2.134120759 0.3 0.57 0.41

1.60546216 2.218515194 1.357727335 1.616774202 0.45 0.51 0.53#VALUE! #VALUE! #VALUE! 2.118954141

0.937798858 1.454283371 0.806178472 0.939463325 0.77 1.55 0.941.311661849 1.772227821 1.232607417 1.248373862

0.95217312 1.223745125 0.958200249 1.1118329580.965036997 1.318181819 0.906205801 0.948719727 0.83 1.04 0.921.142411398 1.560464459 1.072766992 1.123095019 0.7 0.88 0.781.117183355 1.52130841 1.116554019 1.180274968 0.76 0.81 0.811.081745843 1.472232685 0.992680769 1.017379838 0.89 0.94 0.950.810869286 1.02132112 0.821389088 0.947420586

#REF! #REF! #REF! 0.869991062 1.05 1.11 1.111.144932354 1.570747723 1.007142188 0.552778314 0.78 1.47 0.951.110058194 1.47638491 0.969595955 0.5197635571.048238297 1.386428517 0.955475505 0.545140584 0.86 1.11 1.03

#VALUE! #VALUE! #VALUE! 0.684787449 0.8 0.9 0.931.3005885 2.332576739 1.053892214 #VALUE!

1.390547602 2.684989744 1.208562023 #VALUE!#VALUE! #VALUE! #VALUE! #VALUE!

0.80410737 1.408104815 0.868577751 #VALUE! 0.8 1.78 0.860.672805625 1.182596319 0.73836622 #VALUE!

#VALUE! #VALUE! #VALUE! #VALUE! 1 1.27 1.141.212432817 2.174899426 1.154737452 #VALUE! 0.55 1.15 0.660.876550891 1.568353341 0.856226757 #VALUE!

#VALUE! #VALUE! #VALUE! #VALUE! 0.77 0.94 0.931.217700852 1.34994458 1.143570266 #VALUE! 0.81 1.65 0.79

1.070049641 1.179538288 0.976432772 #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! 0.92 1.05 0.97

0.903304885 1.215426925 0.844346921 #VALUE! 0.99 1.9 1.131.046404433 1.385536484 0.993214989 #VALUE! 0.84 1.11 0.99

#VALUE! #VALUE! #VALUE! #VALUE! 1.03 1.35 1.240.788981196 1.056892978 0.743120546 #VALUE! 1.13 2.18 1.270.699706146 0.923690989 0.668458595 #VALUE!0.874918664 1.196895366 0.860217967 #VALUE! 0.98 1.3 1.161.359927923 1.860391711 1.337077927 #VALUE! 0.63 0.83 0.74

#VALUE! #VALUE! #VALUE! #VALUE! 0.64 0.85 0.751.258211554 1.743873414 1.215450234 #VALUE! 0.69 1.33 0.791.260073075 1.723789522 1.238900877 #VALUE! 0.68 0.9 0.81.232137932 1.622234735 1.168515465 #VALUE! 0.72 0.95 0.840.758884594 1.032331195 0.745537899 #VALUE! 1.12 1.51 1.271.001361838 1.314458975 0.955874525 #VALUE! 0.88 1.17 1.020.801306714 1.09003915 0.787213931 #VALUE! 1.07 1.42 1.260.839015266 1.14133511 0.824259292 #VALUE! 1.03 1.36 1.2

#REF! #REF! #REF! #VALUE! 0.67 0.88 0.78#VALUE! #VALUE! #VALUE! #DIV/0!

1.039801714 1.837836362 0.947803452 #DIV/0!#REF! #REF! #REF! 2.340835396

#VALUE! #VALUE! #VALUE! 0.706417107 1.15 2.27 1.280.748701236 1.006825785 0.708642928 0.706417107 1.19 2.34 1.321.261321522 1.60903919 1.318781134 1.176823889 0.69 0.88 0.741.217827676 1.55355508 1.273305923 1.136243747 0.74 0.94 0.791.238764649 1.60212075 1.306396616 1.174745917 0.7 0.78 0.761.280056804 1.655524775 1.349943169 1.213904126 0.68 0.77 0.751.424614187 1.869140876 1.419507891 1.229521101 0.62 0.69 0.721.058284825 1.38850465 1.054491576 0.913358465 0.85 0.94 0.980.884320289 1.256841605 0.936864192 0.871254864 0.94 0.84 1.13

1.15641884 1.643562098 1.225130098 1.139333378 0.71 0.64 0.861.040572225 1.325497207 1.089599321 1.105823444 0.87 0.79 0.950.835326138 1.0545663 0.913218087 1.105823444 0.87 0.8 0.950.938024434 1.165393628 0.975467929 1.053875124 0.99 0.91 1.061.196199113 1.486826574 1.242195134 1.334908557 0.78 0.72 0.831.245465392 1.591927032 1.338723761 1.339144476 0.7 0.77 0.751.449839966 1.862419982 1.517372575 1.339144476 0.72 0.78 0.771.267080117 1.511032386 1.529353707 1.664384231 0.73 0.94 0.781.011029657 1.195013044 1.233710496 1.549599081 0.8 1.02 0.841.208714807 1.648761436 1.466808463 1.606992 0.69 0.74 0.821.447258886 1.940996329 1.73405588 1.606992 0.7 0.75 0.831.253018883 1.541704753 1.587212127 1.661737101 0.71 0.92 0.741.103833641 1.358090106 1.405943944 1.723282941 0.7 0.9 0.73

0.903628939 1.21762674 1.141390615 1.292462239 0.9 0.98 1.020.926810508 1.228667245 1.162575359 1.107824716 1.08 1.17 1.220.925930322 1.124759523 1.156421938 1.753020737 0.8 0.74 0.84

#VALUE! #VALUE! #VALUE! 1.702934436 1.02 0.75 1.07#REF! #REF! #REF! 3.060218174 0.87 1.81 0.83

1.374661511 2.717727562 1.001199509 #DIV/0!#VALUE! #VALUE! #VALUE! 4.249764914








1.188487106 1.060870574 1.015895401 #DIV/0!2.362336412 2.11124146 2.020391128 1.558764142

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Vprevisto

ASHOUR ET. ALASHOUR ET. ALKHUNTIA ET ALKWAK ET AL (2 MANSUR (198SHARMA (1986

v1.657151103 2.6472006152.502899709 2.513679263

#VALUE! 2.3959156341.625769942 2.580171999

2.08975793 2.5298892472.858043715 2.5688305282.265235226 2.29889809

#REF! 2.0949706023.19047619 1.517857143 3.719573343 3.120039971

3.001119821 1.478163494 3.654003158 2.63022856

3.214285714 2.071428571 3.649663282 2.391342529

1.03630363 1.058305831 4.940371811 3.8432690290.977178423 0.784232365 3.801015021 3.2381955481.022026432 0.977973568 3.172297029 2.6696982890.794871795 0.994871795 2.986301864 2.4179913720.883045526 0.922291994 5.924021213 3.7707664920.929042904 0.754125413 4.783328696 3.1755042220.895899054 0.826498423 4.246139513 2.6989218150.974489796 1.173469388 4.110750437 2.476595179

0.95125448 1.002867384 6.984407598 3.7924660860.920943135 0.751733703 5.848577129 3.1970895970.945868946 0.851851852 5.28187171 2.6933798751.131313131 1.333333333 5.191147601 2.4864327360.855869242 0.784546805 5.479865642 3.1621476780.742268041 0.783505155 4.530667341 2.6472162190.655290102 0.911262799 #REF! 2.407874209

0.59 0.55 0.8 0.64 4.507157921 2.8134240670.6 0.55 0.81 0.64 4.507157921 2.8134240670.8 0.86 1.12 0.81 #REF! 2.813424067

1.13 0.87 1.53 0.38 1.564506526 1.8470469240.74 0.69 1.03 0.76 2.613720857 1.838069760.96 0.98 1.28 0.87 #VALUE! 1.906348437

1.785834547 2.013346432.835048878 2.003561004


#REF! 2.0779871751.874335886 2.568455922.591130806 2.592956849

#VALUE! 2.6887288550.56 0.52 0.78 0.42 1.673147425 2.3231700850.59 0.53 0.78 0.72 2.389942345 2.345331192

#VALUE! 2.4319570350.65 0.67 0.8 0.56 1.571037317 2.16141537

2.287832237 2.1820334712.726438875 2.2626278411.986021946 1.6498533981.784833485 1.492293494

#REF! 1.3883899920.66 0.43 0.74 0.47 1.296387209 1.0357527630.65 0.5 0.82 0.72 2.691069306 1.2180356610.84 0.7 1.05 0.74 #REF! 1.333393491

2.040729705 1.8982109470.87 0.82 1.36 0.86 1.786986473 1.664273283

#VALUE! 1.54010382#VALUE! 1.898210947

1.201610911 1.540103822.528367133 1.8982109472.274623901 1.6642732832.176885767 1.540103822.670995153 1.8982109472.159416056 1.664273283

#VALUE! 1.54010382#VALUE! 1.898210947

1.26 0.95 1.36 0.48 1.474725939 1.540103823.158632581 1.898210947

0.96 0.75 1.37 0.82 2.647053483 1.6642732831.05 0.92 1.25 1.03 #REF! 1.54010382

#VALUE! 1.4073391710.69 0.55 0.86 0.41 #VALUE! 1.2937988680.74 0.64 0.76 0.53 #VALUE! 1.215012230.79 0.73 0.81 0.66 1.052366858 1.155561611

1.897897793 1.5914165050.83 0.75 1.16 0.87 1.731156066 1.4630253420.89 0.87 1.09 1.05 1.638521773 1.373933559

1.579572677 1.306706912.144516802 1.620451327

0.82 0.77 1.15 0.88 1.977775075 1.4897177141.885140782 1.399000483

1.826191686 1.3305473081.802615732 1.490233038

0.86 0.71 1.17 0.83 2.186202234 1.4897177142.376182432 1.6240623622.209440705 1.4930374212.116806412 1.4021180342.057857316 1.333512317

1.53731864 1.1624783561.01 0.85 1.39 1.02 1.712477983 1.1620763690.86 0.64 1.15 0.83 1.920905142 1.162076369

1.891446335 1.6043694112.066605678 1.603814618

0.67 0.56 0.92 0.71 #REF! 1.6038146180.35 0.24 0.45 0.5 2.814947545 2.728343138

0.4 0.33 0.5 0.59 3.965268405 2.7358365420.43 0.37 0.53 0.61 3.818670232 2.735836542

#VALUE! 1.9048151880.36 0.23 0.55 0.4 2.712734884 2.9529849120.46 0.37 0.65 0.56 4.187273249 3.054738494

#VALUE! 3.0251662730.87 0.64 1.28 0.4 1.852671717 2.62921214

3.011456763 2.6737083913.828442419 2.673708391

0.79 0.71 1.13 0.67 2.912596326 2.6225558960.67 0.6 0.96 0.62 2.912596326 2.6225558960.69 0.66 0.97 0.63 3.240167715 2.4449244180.81 0.77 1.12 0.69 2.882996597 2.741489664

3.692328285 2.6611531550.94 0.91 1.28 0.75 #REF! 2.433443510.93 0.64 1.06 0.49 1.741191332 1.827886417

2.093988047 1.9073452690.93 0.72 1.09 0.83 2.364512086 1.8195683720.82 0.69 0.97 0.79 #VALUE! 1.94511601

1.186092389 2.1265425351.489495736 2.140418893

#VALUE! 2.1091331410.81 0.71 1.23 0.34 1.132571653 1.866808687

1.425335476 1.8637038060.88 0.89 1.36 0.85 #VALUE! 1.823101610.61 0.46 0.92 0.36 1.202046292 1.863235831

1.494810115 1.8601368930.75 0.66 1.12 0.7 #VALUE! 1.8196124050.83 0.74 0.93 0.57 1.271559618 1.671430259

1.574962965 1.6823368670.83 0.74 0.93 0.57 #VALUE! 1.6577467391.17 0.82 1.25 0.49 1.283481538 1.4771712110.89 0.72 1.05 0.86 1.93027596 1.6443277281.11 0.87 1.32 0.94 #VALUE! 1.6634684681.33 0.95 1.42 0.49 1.154984203 1.476942068

1.801778625 1.6440726551.04 0.84 1.23 0.92 1.844453749 1.6598651210.67 0.54 0.79 0.74 1.797066826 1.6598651210.68 0.55 0.81 0.75 #VALUE! 1.6598651210.82 0.57 0.89 0.49 1.150272404 1.4911291280.72 0.58 0.86 0.76 1.797066826 1.6598651210.75 0.62 0.89 0.8 1.952773967 1.6761593241.13 0.97 1.37 1 1.819564832 1.6919974960.92 0.76 1.09 0.88 1.824276632 1.6758993131.13 0.92 1.34 0.96 1.819564832 1.6919974961.08 0.88 1.29 0.94 1.819564832 1.691997496

0.7 0.57 0.83 0.75 #REF! 1.691997496#VALUE! 2.084578478

1.542325861 2.114043094#REF! 2.286733308

1.31 0.98 1.48 0.47 #VALUE! 1.7981902771.35 1.01 1.53 0.47 1.398647502 1.7981902770.63 0.61 0.78 0.81 2.092383982 1.8537812060.67 0.66 0.83 0.84 2.092383982 1.8537812060.64 0.62 0.78 0.8 2.179173985 1.6556287840.63 0.61 0.77 0.8 2.179173985 1.6556287840.62 0.54 0.74 0.76 2.271137226 1.6556287840.85 0.74 1.01 0.88 2.271137226 1.6556287840.96 0.81 1.11 0.85 2.512800124 1.4502657640.73 0.61 0.84 0.76 2.512800124 1.450265764

0.8 0.76 0.95 0.77 2.952520685 1.8565387840.8 0.76 0.96 0.77 3.665821213 1.856538784

0.89 0.87 1.07 0.86 3.038646586 1.973254950.7 0.68 0.84 0.76 3.018061546 1.97325495

0.62 0.63 0.77 0.82 2.397168515 1.8121677470.64 0.64 0.79 0.83 2.061413993 1.8121677470.66 0.66 0.82 0.79 2.027172461 2.0148911050.71 0.71 0.89 0.82 2.406532198 2.0148911050.69 0.61 0.82 0.79 1.827189724 1.370674234

0.7 0.62 0.84 0.8 1.542048291 1.3706742340.62 0.64 0.77 0.75 1.841170776 1.7751697810.61 0.63 0.76 0.74 2.187340883 1.775169781

0.82 0.8 1.02 0.91 1.839358194 1.3991817290.99 0.96 1.22 1.02 1.549780413 1.3991817290.68 0.71 0.84 0.76 3.372984203 1.8334467370.85 0.91 1.03 0.81 #VALUE! 1.7891310960.89 0.78 0.98 0.49 #REF! 1.623606572

2.357474605 1.812446955#VALUE! 1.819267085

1.74798224 1.530106981#VALUE! 1.744393596

1.508056132 1.41303135#VALUE! 1.465043585

1.870184676 1.849801127#VALUE! 1.893466664

1.452169955 1.524029088#VALUE! 1.514889449

1.330160668 1.467755375#VALUE! 1.462329284

1.480455852 1.880085204#VALUE! 1.822672359

1.209388451 1.505722156#VALUE! 1.557309771

1.131183492 1.3979550571.113119553 1.361876262

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NARAYAN ANDfspfc e 1 2 ASHOUR ET. ALKHUNTIA ET AL

v v v3.434789151 3.857894737 1.708661417 3.013725296 1.975448323 3.013725296 3.541939016 1.973467994.441274455 4.474527967 1.708661417 4.725522368 2.672040167 4.725522368 5.267019553 2.688365744

#VALUE! #VALUE! 1.708661417 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!3.438386333 3.866666667 1.708661417 3.016513203 1.977275751 3.016513203 3.458158111 1.9234986654.020598165 4.306296133 1.708661417 3.91642564 2.340239958 3.91642564 4.40436034 2.3231807084.798387582 4.732789144 1.708661417 5.355746235 2.943320571 5.355746235 5.966612142 3.0247850514.170081781 4.017402494 1.708661417 4.392030832 2.500715569 4.392030832 4.840264817 2.418831769

#REF! #REF! 1.708661417 #REF! #REF! #REF! #REF! #REF!3.741047816 6.634199501 1.402413456 2.963400508 1.847066588 2.963400508 6.058768825 3.8269131952.969135087 6.667217176 1 1.466966538 1.466966538 -1.02906355 3.025906056 3.434153421

2.95813838 6.72774958 1 1.285374185 1.285374185 -3.98945832 2.025903001 3.454490443

11.52380686 6.692412003 2.78832793 10.5256251 3.839654371 10.5256251 10.07644233 5.0813642244.519260752 6.697842484 1.402413456 4.150683405 3.055045307 4.150683405 5.069794529 3.0267527042.780832396 6.496914695 1 2.398875948 2.398875948 0.525057294 2.494629069 2.5584124152.594612029 6.518636618 1 2.098883299 2.098883299 -1.38813121 1.667108777 2.56377035212.25251499 6.815796713 2.78832793 13.41568259 4.612296565 13.41568259 12.59274508 5.9122937285.205100936 6.815796713 1.402413456 5.244529012 3.668828861 5.244529012 6.333629183 3.8949433723.532558874 6.936861521 1 2.92416802 2.92416802 -0.1194338 3.177055284 3.5238426523.380746456 7.101949896 1 2.572547748 2.572547748 -3.45326901 2.137705842 3.57764488813.10695905 7.12707171 2.78832793 16.42940962 5.43461365 16.42940962 15.27905272 6.8784389995.959751552 7.13819146 1.402413456 6.390933643 4.324587272 6.390933643 7.688299705 4.854507391

4.23368915 7.165990836 1 3.433108802 3.433108802 -0.77413187 3.837250286 4.4521068184.098299063 7.399505591 1 3.02407119 3.02407119 -5.52762994 2.585278608 4.5473740956.188523075 6.771773146 1.402413456 6.027188125 4.29387863 6.027188125 6.472270369 3.8785607833.838543453 6.733252526 1 3.400029224 3.400029224 0.177613326 3.220284402 3.456333329

#REF! #REF! 1 #REF! #REF! #REF! #REF! #REF!3.876785066 6.530064087 1 3.470928993 3.470928993 2.493192786 4.373143275 3.4051007453.876785066 6.530064087 1 3.470928993 3.470928993 2.493192786 4.373143275 3.405100745

#REF! #REF! 1 #REF! #REF! #REF! #REF! #REF!1.272313998 2.988888889 1.005905512 1.439200338 1.439200338 1.292588887 1.731872003 1.0719266772.480555654 3.831491312 1.005905512 2.2239102 2.2239102 1.712431078 3.2110812 2.012206485

#VALUE! #VALUE! 1.005905512 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!2.116363938 2.988888889 1.420101899 2.046885694 1.61432921 2.046885694 2.444995769 1.3591474193.408366285 3.831491312 1.420101899 3.693788489 2.494526371 3.693788489 4.533291107 2.29837961


#REF! #REF! 1.420101899 #REF! #REF! #REF! #REF! #REF!2.168215605 3.994736842 1.391076115 2.061713321 1.659951525 2.061713321 2.880537802 1.641105532.948005592 4.717620302 1.391076115 2.873007169 2.101950976 2.873007169 4.007320237 2.288682004

#VALUE! #VALUE! 1.391076115 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!1.360279472 3.994736842 1 1.452218775 1.452218775 1.207259075 1.928009365 1.3213067022.072220869 4.717620302 1 1.838904707 1.838904707 1.255582913 2.682190438 1.965832561

#VALUE! #VALUE! 1 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!1.259594156 3.994736842 1 1.319117481 1.319117481 0.821638577 1.444568211 1.3213067021.971535553 4.717620302 1 1.670362198 1.670362198 0.225378708 2.009641194 1.9658325612.339326812 5.128314368 1 1.874286475 1.874286475 -0.05512281 2.337049013 2.3660724552.382301595 3.023176727 1.391076115 2.455425559 1.765742628 2.455425559 3.159558303 1.590195331.665554411 3.023176727 1 1.544770771 1.544770771 1.011063375 2.114764123 1.365876846

#REF! #REF! 1 #REF! #REF! #REF! #REF! #REF!0.992 1.688888889 1 1.110055216 1.110055216 0.924135535 1.109598814 0.704573772

2.985938117 3.019028025 1 2.544094649 2.544094649 1.275689954 3.531072037 1.968018675#REF! #REF! 1 #REF! #REF! #REF! #REF! #REF!

3.139696084 3.189292547 1.874015748 3.585668729 1.836100906 3.585668729 4.274058395 2.0663906161.775265487 3.189292547 1.107372942 1.541036511 1.541036511 1.509111331 2.525579961 1.410906953

#VALUE! #VALUE! 1 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! 1.874015748 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!

0.897496199 2.588397905 1 1.071862434 1.071862434 0.777170597 1.243036853 0.9736424013.762490818 3.439078634 1.874015748 4.801969532 2.256156039 4.801969532 5.679570206 2.5036551682.352101012 3.439078634 1.107372942 1.893588103 1.893588103 1.843136911 3.356109667 1.8481715042.122559574 3.439078634 1 1.707775942 1.707775942 0.270473372 2.461147089 1.8481715044.353785153 3.189292547 1.874015748 3.585668729 1.836100906 3.585668729 4.413347059 2.0663906162.199193282 3.189292547 1.107372942 1.541036511 1.541036511 1.509111331 2.607886899 1.410906953

#VALUE! #VALUE! 1 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! 1.874015748 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!

1.178233041 2.588397905 1 1.352036491 1.352036491 0.980315172 1.303395274 0.9736424014.976579887 3.439078634 1.874015748 5.788733345 2.845892529 5.788733345 5.81885887 2.5036551682.776028807 3.439078634 1.107372942 2.388552983 2.388552983 2.332521478 3.438416605 1.848171504

#REF! #REF! 1 #REF! #REF! #REF! #REF! #REF!#VALUE! #VALUE! 1.401066802 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! 1.000762002 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! 1 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!

0.733728868 2.044444444 1 0.918275624 0.918275624 0.522145086 0.835478526 0.8215313752.238126864 2.909910105 1.401066802 2.340500567 1.66632884 2.340500567 3.055261777 1.5315308811.591606528 2.909910105 1.000762002 1.489704313 1.489704313 1.179059939 2.182329841 1.3054548631.505904449 2.909910105 1 1.370108519 1.370108519 0.39209347 1.697367654 1.3054548631.451890626 2.909910105 1 1.281545288 1.281545288 -0.23943928 1.388755353 1.3054548632.553767108 3.08958047 1.401066802 2.731023203 1.876186103 2.731023203 3.606458152 1.7574934671.889985274 3.08958047 1.000762002 1.677317503 1.677317503 1.270675994 2.576041537 1.5283309441.804250336 3.08958047 1 1.542659829 1.542659829 0.231964178 2.003587862 1.528330944

1.750236514 3.08958047 1 1.442942955 1.442942955 -0.63173861 1.63929916 1.5283309441.734082007 3.08958047 1.002147459 1.407340794 1.407340794 1.034144229 2.545712822 1.5283309442.081108243 3.08958047 1.000762002 1.91660391 1.91660391 1.484487372 2.617101687 1.5283309442.848950527 3.208413784 1.401066802 3.108907101 2.075940075 3.108907101 4.135058355 1.9658259252.173752001 3.208413784 1.000762002 1.855898313 1.855898313 1.354221279 2.95361311 1.7362805072.087995332 3.208413784 1 1.706903892 1.706903892 0.066061569 2.297254641 1.7362805072.033981509 3.208413784 1 1.596570352 1.596570352 -1.02845624 1.879571979 1.7362805071.605503052 2.554982854 1.002147459 1.295103521 1.295103521 0.933717178 2.312872138 1.2685728791.761584079 2.554982854 1.000762002 1.543549235 1.543549235 1.15114903 2.343522753 1.2685728791.952707047 2.554982854 1.000762002 1.763752237 1.763752237 1.34790867 2.384582903 1.2685728791.782471936 3.290773121 1.002147459 1.443464741 1.443464741 1.066467016 2.623675902 1.615306891.938308304 3.290773121 1.000762002 1.720371275 1.720371275 1.309146154 2.653896834 1.61530689

#REF! #REF! 1.000762002 #REF! #REF! #REF! #REF! #REF!2.39577826 5.484210526 1 2.301249424 2.301249424 1.725937068 2.234278384 1.592202908

3.330254438 6.329340437 1 3.023201901 3.023201901 1.657697259 3.142777354 2.6243118813.223592494 6.274842753 1 2.931397844 2.931397844 1.666829633 3.027277354 2.492857279

#VALUE! #VALUE! 1 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!2.668382919 5.805263158 1.012307692 2.464765526 2.464765526 2.227768841 2.759694273 1.6447592533.826526034 7.070495712 1.012307692 3.395804626 3.395804626 2.843021653 4.11096578 2.974962722

#VALUE! #VALUE! 1.012307692 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!1.986511095 4.863157895 1 2.004492621 2.004492621 1.712170781 2.303265762 1.4852676192.983147715 5.82549798 1 2.712346427 2.712346427 1.989983406 3.41551445 2.5278917013.596266001 6.083132506 1 3.205763414 3.205763414 2.17613875 4.19041445 3.2604828552.904180798 5.638260824 1 2.655951609 2.655951609 1.956337833 3.326297344 2.4351724122.904180798 5.638260824 1 2.655951609 2.655951609 1.956337833 3.326297344 2.4351724123.177715464 5.253728183 1 2.891961722 2.891961722 2.001786054 3.696796934 2.7147684022.893012955 5.981655229 1 2.63224485 2.63224485 1.976032059 3.290976362 2.4180960233.555152864 6.083132506 1 3.149965451 3.149965451 2.005036295 4.106703827 3.260482855

#REF! #REF! 1 #REF! #REF! #REF! #REF! #REF!1.578372881 3.144444444 1 1.680907331 1.680907331 1.215122742 1.519740441 1.107752682.011802628 3.768213701 1 1.971358641 1.971358641 1.153193132 1.900801248 1.4291665992.310652115 3.783944354 1 2.195860863 2.195860863 1.032713289 2.203697391 1.666151534

#VALUE! #VALUE! 1 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!2.9946382 2.966666667 1.814013755 2.772521221 1.711797256 2.772521221 3.098597288 1.727703073

3.48658891 3.444946725 1.814013755 3.483071656 1.982952674 3.483071656 3.868979382 2.003732048#VALUE! #VALUE! 1.814013755 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!

1.209158836 2.927777778 1.128198819 1.258453586 1.249308183 1.258453586 1.865422524 1.0652616081.614489193 3.37689052 1.128198819 1.458935631 1.443216049 1.458935631 2.333511999 1.327587423

#VALUE! #VALUE! 1.128198819 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!1.435426663 2.927777778 1.119586614 1.44929223 1.44929223 1.448757304 1.897012328 1.0575201651.839828735 3.37689052 1.119586614 1.67424006 1.67424006 1.673360207 2.361528602 1.319855638

#VALUE! #VALUE! 1.119586614 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!1.070299517 2.966666667 1 1.242064137 1.242064137 0.76775618 1.182556453 1.066710457

1.468811856 3.444946725 1 1.438811981 1.438811981 0.451169236 1.47656701 1.339507176#VALUE! #VALUE! 1 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!

1.243061453 2.483333333 1 1.396630843 1.396630843 0.998339471 1.273102823 0.9461695942.038722994 3.434213714 1 1.942966296 1.942966296 0.822904757 2.035541835 1.537310656

#VALUE! #VALUE! 1 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!1.220075269 2.483333333 1 1.379714297 1.379714297 0.985635372 1.267457329 0.946169594

2.01573681 3.434213714 1 1.919432318 1.919432318 0.803999155 2.029423364 1.5373106562.014586132 3.434213714 1 1.960489201 1.960489201 0.962424928 2.103052634 1.5373106562.014586132 3.434213714 1 1.960489201 1.960489201 0.962424928 2.103052634 1.537310656


2.014586132 3.434213714 1 1.960489201 1.960489201 0.962424928 2.103052634 1.5373106562.053825749 3.497141859 1 1.957160587 1.957160587 0.833051118 2.053341541 1.5595770122.029688886 3.497141859 1 1.878597324 1.878597324 0.901642911 2.1215347 1.5595770122.030839565 3.497141859 1 1.933454683 1.933454683 0.814016402 2.047212028 1.5595770122.029688886 3.497141859 1 1.974811505 1.974811505 0.973055269 2.1215347 1.5595770122.029688886 3.497141859 1 1.974811505 1.974811505 0.973055269 2.1215347 1.559577012

#REF! #REF! 1 #REF! #REF! #REF! #REF! #REF!#VALUE! #VALUE! 1.521259843 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!

2.090089323 3.1 1.521259843 2.641497436 1.944754634 2.641497436 2.635117795 1.49088355#REF! #REF! 1.521259843 #REF! #REF! #REF! #REF! #REF!

#VALUE! #VALUE! 1 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!1.362266483 3.077777778 1 1.523143191 1.523143191 1.110162676 1.469210877 1.0925425392.091946438 3.91071552 1 1.915736315 1.915736315 0.748965859 2.299175864 1.8023178172.091946438 3.91071552 1 1.915736315 1.915736315 0.748965859 2.299175864 1.8023178172.248981489 3.636375746 1 2.000770701 2.000770701 0.50103102 2.421767526 1.8725180352.248981489 3.636375746 1 2.000770701 2.000770701 0.50103102 2.421767526 1.8725180352.411948908 3.636375746 1 2.211049492 2.211049492 0.651230157 2.456805521 1.8725180352.411948908 3.636375746 1 2.211049492 2.211049492 0.651230157 2.456805521 1.8725180352.833736887 3.408336282 1 2.509016266 2.509016266 0.534042239 2.940111214 2.0686775412.833736887 3.408336282 1 2.509016266 2.509016266 0.534042239 2.940111214 2.0686775413.027849284 4.217137935 1 2.688798074 2.688798074 0.665078542 3.171332003 2.4896318033.729663705 4.434432872 1 3.221330229 3.221330229 0.44903433 3.950552782 3.1292484883.054172975 4.455721496 1 2.711346697 2.711346697 0.710284216 3.198210933 2.5742375183.034633382 4.448933717 1 2.696665359 2.696665359 0.716240322 3.176728656 2.555778912.417884306 3.971294455 1 2.130919447 2.130919447 0.616203877 2.649611962 2.0729593342.071285706 3.824629135 1 1.899940051 1.899940051 0.737452547 2.27611328 1.7718882051.926875545 4.255061061 1 1.962366112 1.962366112 0.705621898 2.288726625 1.9192176332.289019185 4.410526984 1 2.201693819 2.201693819 0.551738442 2.670544807 2.2593895641.982480319 3.133281709 1 1.950468253 1.950468253 0.37229161 2.316510051 1.6982444761.622474087 2.986721652 1 1.711140547 1.711140547 0.526175066 1.934691869 1.4425581121.766926825 3.767238211 1 1.742153592 1.742153592 0.548327241 2.154795938 1.7513080852.128248385 3.919278801 1 1.964342281 1.964342281 0.382201629 2.53661412 2.06171887

1.952092566 3.185296222 1 1.822298265 1.822298265 0.280741618 2.323962757 1.7246664611.591999291 3.038373483 1 1.600109577 1.600109577 0.44686723 1.942144576 1.465002024

3.31908326 4.40504548 1 2.937584206 2.937584206 0.056474433 3.779982054 3.111776277#VALUE! #VALUE! 1 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!

#REF! #REF! 1 #REF! #REF! #REF! #REF! #REF!3.315938255 2.666666667 1.397731982 2.493898183 1.998355908 2.493898183 2.45151259 1.240006558








#VALUE! #VALUE! 1 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!0.866385232 2.577777778 1 1.032051284 1.032051284 0.515683151 0.866648023 0.9709007160.849051898 2.505555556 1 1.018646504 1.018646504 0.508985209 0.850852567 0.95204648

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 50

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2SHARMA (1986)

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3Mansur (1986)

Df (diámetro de la fibra)

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2SHARMA (1986)

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2KWAK ET AL (2002)

ρ (% cuantía)

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3Mansur (1986)


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2KWAK ET AL (2002)

ρ (% cuantía)

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Df (diametro de la fibra)

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e KWAK ET AL (2 e Vcc V (HRF) c

v1.525590551 4.50231315 2.07480315 0 0 0 4.79931E-06 5.74035E-051.525590551 5.573014377 2.07480315 101779.1785 0 101779.1785 8.88558E-06 0.0001178691.525590551 #VALUE! 2.07480315 121036.5162 0 121036.5162 1.04488E-05 0.0001502711.525590551 4.509135355 2.07480315 0 0 0 3.92172E-06 4.93757E-051.525590551 5.16629337 2.07480315 86977.84593 0 86977.84593 6.58191E-06 8.61951E-051.525590551 5.963428794 2.07480315 96256.80797 0 96256.80797 7.48692E-06 9.50968E-051.525590551 5.16148 2.07480315 86977.84039 0 86977.84039 7.95314E-06 0.0001216961.525590551 #REF! 2.07480315 96256.80115 0 96256.80115 7.65147E-06 0.0001345851.252154871 3.800615935 1.702930625 41364.54174 6709.664 34654.87774 4.96156E-06 1.58618E-05

1 2.326369122 1 41364.5416 6709.664 34654.8776 5.27244E-06 1.67464E-05

1 2.170162696 1 41364.54179 6709.664 34654.87779 4.97135E-06 1.56047E-05

2.489578509 14.13606902 3.385826772 75437.84078 46296.6816 29141.15918 1.35022E-05 4.01135E-051.252154871 5.967307277 1.702930625 75437.84049 46296.6816 29141.15889 1.4235E-05 4.22477E-05

1 3.003715547 1 75437.8406 46296.6816 29141.159 1.34477E-05 4.14592E-051 2.694888536 1 75437.83901 46296.6816 29141.15741 1.73109E-05 5.31467E-05

2.489578509 14.81986336 3.385826772 80951.55249 46296.6816 34654.87089 1.89239E-05 5.84035E-051.252154871 6.548022786 1.702930625 80951.553 46296.6816 34654.8714 1.78971E-05 5.52344E-05

1 3.631661339 1 80951.55277 46296.6816 34654.87117 1.87794E-05 5.66497E-051 3.339864748 1 80951.55369 46296.6816 34654.87209 1.73997E-05 5.0921E-05

2.489578509 15.75337876 3.385826772 84648.59978 46296.6816 38351.91818 2.07212E-05 6.32207E-051.252154871 7.237476584 1.702930625 84648.59949 46296.6816 38351.91789 2.12934E-05 6.48318E-05

1 4.205467942 1 84648.59982 46296.6816 38351.91822 2.07936E-05 6.29841E-051 3.920746505 1 84648.60196 46296.6816 38351.92036 1.75773E-05 5.10344E-05

1.252154871 7.477689121 1.702930625 111128.2658 76473.39544 34654.87033 1.98758E-05 6.18605E-051 4.022829593 1 111128.2641 76473.39544 34654.86868 2.29855E-05 7.20729E-051 #REF! 1 111128.2628 76473.39544 34654.86732 2.60108E-05 8.05288E-051 4.57832281 1.176488681 38725.24172 0 38725.24172 2.57027E-05 8.39957E-051 4.57832281 1.176488681 38725.24182 0 38725.24182 2.55154E-05 8.33837E-051 #REF! 1.176488681 38725.24696 0 38725.24696 1.63861E-05 5.35492E-051 1.780412473 1.221456693 49626.35236 49626.35236 0 5.25466E-06 3.75118E-051 2.904858068 1.221456693 91985.88166 49626.35236 42359.5293 1.25172E-05 9.00128E-051 #VALUE! 1.221456693 100000.6057 49626.35236 50374.25333 1.34143E-05 9.13284E-05

1.267948124 2.819705308 1.724409449 49626.35236 49626.35236 0 4.56934E-06 3.26195E-051.267948124 4.131289624 1.724409449 91985.88434 49626.35236 42359.53198 1.05912E-05 7.61627E-05

HAI H. DISH; GUSTAVO J. PARRA-MONTESINOS; JAMES K.WIGHT Ϭt (media)

1.267948124 #REF! 1.724409449 100000.61 49626.35236 50374.25766 1.06517E-05 7.25198E-051.242032246 3.079883748 1.689163855 22983.95403 22983.95403 0 8.7425E-06 4.10755E-051.242032246 3.871808544 1.689163855 51718.48854 22983.95403 28734.53451 1.47349E-05 6.79277E-051.242032246 #VALUE! 1.689163855 54783.9439 22983.95403 31799.98987 1.57481E-05 6.75188E-05

1 1.803218708 1.130595727 22983.95403 22983.95403 0 1.09424E-05 5.14115E-051 2.445434245 1.130595727 51718.4894 22983.95403 28734.53536 1.33645E-05 6.16101E-051 #VALUE! 1.130595727 54783.94457 22983.95403 31799.99054 1.47052E-05 6.30477E-051 1.448607411 1 22983.95403 22983.95403 0 1.14296E-05 5.37002E-051 2.049239139 1 51718.48905 22983.95403 28734.53502 1.39117E-05 6.4133E-051 2.357237749 1 54783.94386 22983.95403 31799.98983 1.58167E-05 6.78128E-05

1.242032246 2.98846908 1.689163855 51718.48261 22983.95403 28734.52858 1.16953E-05 0.0001116811 1.928254254 1.130595727 51718.48347 22983.95403 28734.52944 1.10289E-05 0.0001053181 #REF! 1 51718.4828 22983.95403 28734.52877 1.1545E-05 0.0001102461 1.154249199 1.132217848 0 0 0 7.69286E-06 0.0001164351 3.039873534 1.132217848 33244.15692 0 33244.15692 1.43946E-05 0.000170841 #REF! 1.132217848 33244.16047 0 33244.16047 1.43946E-05 0.000149157

1.673228346 4.052302985 2.275590551 36424.54782 0 36424.54782 7.17119E-06 6.30434E-051 2.215253137 1.344667144 36424.54867 0 36424.54867 6.58476E-06 5.7888E-051 #VALUE! 1 36424.54807 0 36424.54807 6.99543E-06 6.14983E-05

1.673228346 #VALUE! 2.275590551 0 0 0 4.36606E-06 3.83829E-051 1.054328481 1 0 0 0 6.10795E-06 5.36963E-05

1.673228346 4.648525047 2.275590551 43316.33146 0 43316.33146 7.14857E-06 6.28446E-051 2.71676681 1.344667144 43316.33197 0 43316.33197 6.85274E-06 6.02439E-051 2.090956328 1 43316.33137 0 43316.33137 7.20425E-06 6.33341E-05

1.673228346 5.011749057 2.275590551 36424.5451 0 36424.5451 9.04882E-06 7.95501E-051 2.69100606 1.344667144 36424.54772 0 36424.54772 7.23558E-06 6.36095E-051 #VALUE! 1 36424.54709 0 36424.54709 7.6741E-06 6.74646E-05

1.673228346 #VALUE! 2.275590551 0 0 0 5.36143E-06 4.71334E-051 1.331931979 1 0 0 0 5.37709E-06 4.72711E-05

1.673228346 5.657434988 2.275590551 43316.32671 0 43316.32671 9.90846E-06 8.71073E-051 3.217046989 1.344667144 43316.32762 0 43316.32762 9.37945E-06 8.24567E-051 #REF! 1 43316.32579 0 43316.32579 1.04409E-05 9.17886E-05

1.250952502 #VALUE! 1.701295403 0 0 0 5.9159E-06 6.586E-051 #VALUE! 1.215211002 0 0 0 6.21169E-06 6.9153E-051 #VALUE! 1 0 0 0 6.81512E-06 7.58707E-051 0.863232427 1 0 0 0 7.28839E-06 8.11395E-05

1.250952502 2.825218406 1.701295403 32468.93879 0 32468.93879 7.39487E-06 6.84627E-051 1.951530195 1.215211002 32468.93902 0 32468.93902 7.24698E-06 6.70935E-051 1.576192734 1 32468.93789 0 32468.93789 7.98646E-06 7.39398E-051 1.500631459 1 32468.93756 0 32468.93756 8.19944E-06 7.59115E-05

1.250952502 3.12788658 1.701295403 35932.78624 0 35932.78624 8.371E-06 7.54262E-051 2.218595143 1.215211002 35932.78639 0 35932.78639 8.28226E-06 7.46267E-051 1.827962494 1 35932.78617 0 35932.78617 8.41241E-06 7.57994E-05

1 1.74932206 1 35932.78545 0 35932.78545 8.85019E-06 7.97439E-051 1.960396438 1.216893343 36479.99138 0 36479.99138 5.24265E-06 4.72385E-051 2.451014196 1.215211002 35932.7853 0 35932.7853 8.94484E-06 8.05968E-05

1.250952502 3.396157889 1.701295403 38612.29036 0 38612.29036 9.14007E-06 8.20813E-051 2.463697605 1.215211002 38612.2907 0 38612.2907 8.94484E-06 8.03281E-051 2.063111594 1 38612.2907 0 38612.2907 8.94484E-06 8.03281E-051 1.982467393 1 38612.28972 0 38612.28972 9.50094E-06 8.53221E-051 1.800046394 1.216893343 36479.98831 0 36479.98831 4.90166E-06 6.41051E-051 2.027528048 1.215211002 35932.78518 0 35932.78518 6.21169E-06 8.1238E-051 2.232296972 1.215211002 35932.78024 0 35932.78024 8.28226E-06 0.0001083171 2.018293772 1.216893343 36479.99041 0 36479.99041 6.52134E-06 5.26026E-051 2.287583433 1.215211002 35932.78477 0 35932.78477 1.03528E-05 8.35081E-051 #REF! 1.215211002 35932.78257 0 35932.78257 1.18436E-05 9.55333E-051 2.794245825 1.02 124204.2677 124204.2677 0 2.02522E-05 6.55282E-051 3.659719288 1.02 163239.8574 124204.2677 39035.5897 2.41574E-05 7.77366E-051 3.567180122 1.02 167404.2483 124204.2677 43199.9806 2.51251E-05 8.08506E-051 #VALUE! 1.105 142824.4957 92534.65364 50289.84206 1.81584E-05 0.0001192121 3.66555067 1.229230769 131257.802 131257.802 0 2.02309E-05 7.36115E-051 4.86106439 1.229230769 191863.5265 131257.802 60605.72451 2.24033E-05 7.61759E-051 #VALUE! 1.229230769 191863.5199 131257.802 60605.7179 2.9362E-05 0.0001017981 2.679307467 1.161666667 188533.1713 188533.1713 0 8.50176E-06 6.32242E-051 3.634571671 1.161666667 294270.8199 188533.1713 105737.6486 1.76333E-05 0.0001268031 4.164056526 1.161666667 294270.8235 188533.1713 105737.6522 1.57046E-05 0.0001129341 3.542241726 1.161666667 277447.588 188533.1713 88914.41668 1.26346E-05 9.44358E-051 3.542241726 1.161666667 277447.5842 188533.1713 88914.41291 1.49568E-05 0.0001117931 3.698880602 1.161666667 286933.1378 188533.1713 98399.96645 1.62557E-05 0.0001397981 3.586248583 1.161666667 286933.1483 188533.1713 98399.977 1.40122E-05 9.58424E-051 4.054107912 1.14 601031.9054 380530.2067 220501.6987 1.31705E-05 0.0001325951 #REF! 1.14 585730.1556 380530.2067 205199.9489 1.17862E-05 0.0001419051 1.727660723 1 163682.2533 163682.2533 0 9.05645E-06 7.26453E-051 2.176164194 1 211095.985 163682.2533 47413.73171 1.09822E-05 8.26457E-051 2.417644395 1 220346.8309 163682.2533 56664.57759 1.20232E-05 9.71049E-051 #VALUE! 1 226289.194 163682.2533 62606.94072 1.55105E-05 0.000113339

1.619655138 3.82392046 2.202730988 #VALUE! #VALUE! 0 4.42098E-05 0.0003824371.619655138 4.451571288 2.202730988 #VALUE! #VALUE! 47413.65458 5.90195E-05 0.0005055921.619655138 #VALUE! 2.202730988 #VALUE! #VALUE! 62606.83476 6.31882E-05 0.0005533911.007320374 1.726961114 1.369955709 #VALUE! #VALUE! 0 1.44079E-05 0.0001268121.007320374 2.126316126 1.369955709 #VALUE! #VALUE! 47778.44365 1.50803E-05 0.0001330611.007320374 #VALUE! 1.369955709 #VALUE! #VALUE! 63088.51662 1.97869E-05 0.000180455

1 1.991794755 1.359498031 #VALUE! #VALUE! 0 2.19235E-05 0.000192961 2.417583874 1.359498031 #VALUE! #VALUE! 47413.71504 1.97311E-05 0.0001740981 #VALUE! 1.359498031 #VALUE! #VALUE! 62606.91003 2.64035E-05 0.0002407981 1.259214272 1 #VALUE! #VALUE! 0 1.0387E-05 8.98531E-05

1 1.618134956 1 #VALUE! #VALUE! 47413.72898 1.13969E-05 9.76317E-051 #VALUE! 1 #VALUE! #VALUE! 62606.93379 1.62297E-05 0.0001421371 1.361999401 1 #VALUE! #VALUE! 0 8.57585E-06 9.42919E-051 2.1445508 1 #VALUE! #VALUE! 56384.73278 1.5884E-05 0.0001487031 #VALUE! 1.018216879 #VALUE! #VALUE! 88914.40727 9.81261E-06 0.0001377961 1.345676695 1 #VALUE! #VALUE! 0 5.66928E-06 0.0001246681 2.124290136 1 #VALUE! #VALUE! 117106.787 8.05038E-06 0.0001507331 2.138992755 1.009423002 #VALUE! #VALUE! 99757.6257 1.04913E-05 0.0001636961 2.138992755 1.009423002 #VALUE! #VALUE! 99757.59529 1.94772E-05 0.0003039041 #VALUE! 1.009423002 #VALUE! #VALUE! 99757.59644 1.91367E-05 0.0002985911 1.357521644 1.009423002 #VALUE! #VALUE! 0 1.12368E-05 0.0002059161 2.138992755 1.009423002 #VALUE! #VALUE! 99757.60013 1.80471E-05 0.0002815891 2.165140365 1 #VALUE! #VALUE! 56384.72781 1.88669E-05 0.0001716211 2.159514629 1.009423002 #VALUE! #VALUE! 99757.62515 1.09644E-05 0.0001662291 2.144632948 1 #VALUE! #VALUE! 117106.7738 1.1622E-05 0.0002114381 2.159514629 1.009423002 #VALUE! #VALUE! 99757.62313 1.15774E-05 0.0001755211 2.159514629 1.009423002 #VALUE! #VALUE! 99757.62134 1.21222E-05 0.0001837811 #REF! 1.009423002 #VALUE! #VALUE! 99757.59985 1.866E-05 0.000282898

1.358267717 #VALUE! 1.847244094 0 0 0 4.61206E-06 3.91233E-051.358267717 2.890894727 1.847244094 0 0 0 8.2595E-06 6.86042E-051.358267717 #REF! 1.847244094 51996.8214 0 51996.8214 8.86238E-06 6.54327E-05

1 #VALUE! 1 90177.88416 90177.88416 0 5.24487E-06 6.58852E-051 1.552262721 1 90177.88416 90177.88416 0 5.24487E-06 6.58852E-051 2.199000217 1 142710.2233 73215.85357 69494.36973 1.38274E-05 0.0001659431 2.199000217 1 142710.2243 73215.85357 69494.37078 1.33506E-05 0.0001602211 2.296392967 1 147892.4059 73215.85357 74676.5523 1.45961E-05 0.0002059721 2.296392967 1 147892.4045 73215.85357 74676.55095 1.50826E-05 0.0002128381 2.465643215 1 164854.4297 90177.88416 74676.54557 1.70288E-05 0.0002403011 2.465643215 1 164854.4418 90177.88416 74676.55768 1.265E-05 0.0001785091 2.77521547 1 172821.0725 90177.88416 82643.1883 1.2397E-05 0.0002150061 2.77521547 1 172821.0581 90177.88416 82643.17395 1.62114E-05 0.0002811621 3.02863625 1 172821.0782 90177.88416 82643.19406 1.57346E-05 0.0001884111 3.613594655 1 172821.0782 90177.88416 82643.19406 1.57346E-05 0.0001884111 3.075447086 1 164854.4462 90177.88416 74676.56203 1.43042E-05 0.0001563131 3.059100696 1 164854.438 90177.88416 74676.55386 1.81186E-05 0.0001979961 2.465034309 1 142710.2179 73215.85357 69494.36436 1.57346E-05 0.0001953731 2.174811945 1 142710.2179 73215.85357 69494.36436 1.57346E-05 0.0001953731 1.896225828 1 215759.6745 67163.73664 148595.9379 1.60512E-05 0.0002550051 2.188519923 1 215759.6788 67163.73664 148595.9422 1.49442E-05 0.0002374191 1.908906358 1 215759.6305 67163.73664 148595.8938 1.54977E-05 0.0004358041 1.614711516 1 215759.6305 67163.73664 148595.8938 1.54977E-05 0.0004358041 1.701095873 1 201199.6963 52603.76576 148595.9305 1.49442E-05 0.0002851271 1.991544551 1 201199.6937 52603.76576 148595.928 1.54977E-05 0.000295687

1 1.839860931 1 201199.6886 52603.76576 148595.9228 1.16233E-05 0.0003169151 1.548286729 1 201199.6996 52603.76576 148595.9338 9.96282E-06 0.0002716411 3.026576966 1 247233.2419 70521.92347 176711.3185 1.93721E-05 0.0003521271 #VALUE! 1 247233.2411 70521.92347 176711.3177 1.88187E-05 0.0003548541 #REF! 1 52603.76576 52603.76576 0 7.19537E-06 0.000156948

1.247974984 3.365962496 1.697245978 0 0 0 1.05352E-05 0.0001050371.247974984 #VALUE! 1.697245978 18794.21606 0 18794.21606 1.71315E-05 0.000169842

1 1.615794268 1 0 0 0 6.96135E-06 7.31234E-051 #VALUE! 1 18794.2149 0 18794.2149 2.15802E-05 0.0001862231 1.444464995 1 0 0 0 9.11348E-06 9.43261E-051 #VALUE! 1 18794.21267 0 18794.21267 2.22093E-05 0.000217738

1.247974984 2.949222921 1.697245978 0 0 0 7.78418E-06 7.527E-051.247974984 #VALUE! 1.697245978 18794.21794 0 18794.21794 1.53495E-05 0.00014332

1 1.390490817 1 0 0 0 6.53296E-06 6.90344E-051 #VALUE! 1 18794.21551 0 18794.21551 1.66537E-05 0.0001775761 1.281995695 1 0 0 0 8.11789E-06 7.93666E-051 #VALUE! 1 18794.21252 0 18794.21252 2.23625E-05 0.000219851

1.247974984 2.454006867 1.697245978 0 0 0 6.72128E-06 6.34282E-051.247974984 #VALUE! 1.697245978 18794.21796 0 18794.21796 1.44742E-05 0.000143096

1 1.133120172 1 0 0 0 5.46198E-06 5.87731E-051 #VALUE! 1 18794.21711 0 18794.21711 1.51543E-05 0.0001550311 1.013883909 1 0 0 0 8.0422E-06 8.3977E-051 0.994856873 1 18794.21602 0 18794.21602 1.5694E-05 0.000170433

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Codigos

MC2010 & CNR-DT 204 alfa I

kf0 79240.46844 #VALUE! #VALUE!

1.2 0 3.81E-06 0.0056444441.427048538 0 464.1438266 0.005644444

0 77686.3313852 #VALUE! #VALUE!1.025488815 0 464.1438266 0.0056444441.134889931 0 464.1438266 0.0056444441.025488815 0 1181.896501 0.0033866671.134889931 0 1181.896501 0.0033866671.289483918 1 0 0.0043888891.289483918 2 0 0.004388889

1.289483918 3 0 0.004388889

1.084322404 0 0.0043888891.084322404 0 0.0043888891.084322404 0 0.0043888891.084322404 0 0.0043888891.289483918 0 0.0043888891.289483918 0 0.0043888891.289483918 4 0 0.0043888891.289483918 5 0 0.0043888891.427048538 0 0.0043888891.427048538 0 0.0043888891.427048538 0 0.0043888891.427048538 6 0 0.0043888891.289483918 0 0.0043888891.289483918 0 0.0043888891.289483918 0 0.0043888891.376897997 0 0.0056444441.376897997 7 0 0.0056444441.376897997 0 0.005644444

0 30715.1153056 #VALUE!1.289483918 0 0.005644444

1.53346345 8 0 0.0056444440 30715.1153056 #VALUE!

1.289483918 0 0.005644444

Ϭt (media)Vcu (Sin Fibras) contribucion del hormigon

1.53346345 0 0.0056444440 27280.0622967 #VALUE!

1.084322404 0 0.0052666671.2 0 0.005266667

0 27280.0622967 #VALUE!1.084322404 9 0 0.005266667

1.2 10 0 0.0052666670 27280.0622967 #VALUE!

1.084322404 11 0 0.0052666671.2 12 0 0.005266667

1.084322404 0 0.0052666671.084322404 0 0.0052666671.084322404 13 0 0.005266667

0 17162.8591821 #VALUE!1.289483918 0 0.0056444441.289483918 0 0.0033866671.084322404 14 0 0.0055555561.084322404 0 0.0055555561.084322404 15 0 0.005555556

0 24695.8969766 #VALUE!0 24695.8969766 #VALUE!

1.289483918 16 0 0.0055555561.289483918 17 0 0.0055555561.289483918 18 0 0.0055555561.084322404 0 0.0055555561.084322404 0 0.0055555561.084322404 0 0.005555556

0 31198.298756 #VALUE!0 31198.298756 #VALUE!

1.289483918 0 0.0055555561.289483918 0 0.0055555561.289483918 0 0.005555556

0 20102.6451217 #VALUE!0 20102.6451217 #VALUE!0 20102.6451217 #VALUE!0 20102.6451217 #VALUE!

1.084322404 0 0.0055555561.084322404 0 0.0055555561.084322404 0 0.0055555561.084322404 19 0 0.005555556

1.2 0 0.0055555561.2 0 0.0055555561.2 20 0 0.005555556

1.2 21 0 0.0055555561.2 22 0 0.0055555561.2 0 0.005555556

1.289483918 0 0.0055555561.289483918 0 0.0055555561.289483918 23 0 0.0055555561.289483918 24 0 0.005555556

1.2 25 0 0.0055555561.2 0 0.0055555561.2 0 0.0055555561.2 26 0 0.0055555561.2 0 0.0055555561.2 0 0.005555556

0 63870.6716524 #VALUE!1.084322404 0 0.003875969

1.2 0 0.0038759691.289483918 0 0.006666667

0 78702.2488537 #VALUE!1.289483918 0 0.0066666671.289483918 0 0.006666667

0 99829.4960634 #VALUE!1.289483918 0 0.0066666671.289483918 0 0.0066666671.084322404 0 0.0038759691.084322404 0 0.003875969

1.2 0 0.0038759691.2 0 0.003875969

1.289483918 0 0.0066666671.2 0 0.003875969

0 59057.9610134 #VALUE!0.911802823 0 0.0049975011.089703822 0 0.0049975011.203980154 0 0.004997501

0 45704.5267236 #VALUE!0.911802823 0 0.0049975011.203980154 0 0.004997501

0 39173.1268752 #VALUE!0.911802823 0 0.0049975011.203980154 0 0.004997501

0 45377.0521319 #VALUE!0.911802823 0 0.0049975011.203980154 0 0.004997501

0 45704.5267236 #VALUE!

0.911802823 0 0.0049975011.203980154 0 0.004997501

0 47848.4212431 #VALUE!1.084322404 0 0.0049975011.084322404 0 0.004997501

0 84160.2093098 #VALUE!1.084322404 0 0.0049975011.084322404 0 0.0049975011.084322404 0 0.0049975011.084322404 0 0.004997501

0 72974.5007065 #VALUE!1.084322404 0 0.0049975011.084322404 0 0.0049975011.084322404 0 0.0049975011.084322404 0 0.0049975011.084322404 0 0.0049975011.084322404 0 0.0049975011.084322404 0 0.004997501

0 33816.5717512 #VALUE!0 34109.7936538 #VALUE!

1.255962167 0 0.0040016010 54306.1138453 #VALUE!0 54306.1138453 #VALUE!

1.2 0 0.0061111111.2 0 0.006111111

1.289483918 0 0.0061111111.289483918 0 0.0061111111.289483918 0 0.0061111111.289483918 0 0.0061111111.427048538 0 0.0061111111.427048538 0 0.0061111111.427048538 0 0.0061111111.427048538 0 0.0061111111.289483918 0 0.0041666671.289483918 0 0.004166667

1.2 0 0.0042222221.2 0 0.0042222221.2 0 0.0061111111.2 0 0.0061111111.2 0 0.0041666671.2 0 0.0041666671.2 27 0 0.0061111111.2 0 0.006111111

1.2 0 0.0041666671.2 0 0.004166667

1.427048538 0 0.0061111111.427048538 0 0.004166667

0 64627.0196313 #VALUE!0 16070.0873115 #VALUE!

1.289483918 0 0.0033333330 15710.187579 #VALUE!

1.289483918 0 0.0033333330 15811.808694 #VALUE!

1.289483918 0 0.0033333330 14052.5291014 #VALUE!

1.289483918 0 0.0033333330 13523.3445194 #VALUE!

1.289483918 0 0.0033333330 13986.4762856 #VALUE!

1.289483918 0 0.0033333330 11672.5161041 #VALUE!

1.289483918 0 0.0033333330 11028.9101486 #VALUE!

1.289483918 28 0 0.0033333330 11175.1992097 #VALUE!

1.289483918 29 0 0.003333333

0 0.5 1 1.5 2 2.50

0.5

1

1.5

2

2.5

3Mansur (1986)


Expe

rimen

tal/

Prev

isto

0 0.5 1 1.5 2 2.50

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

2

SHARMA (1986)


Vexp

eriim

enta

l/Vp

revi

sto

0 0.5 1 1.5 2 2.50

0.5

1

1.5

2

2.5

3Mansur (1986)


Expe

rimen

tal/

Prev

isto

0 0.5 1 1.5 2 2.50

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

2

SHARMA (1986)


Vexp

eriim

enta

l/Vp

revi

sto

0 0.5 1 1.5 2 2.50

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8



Vexp

eriim

enta

l/Vp

revi

sto

0 0.5 1 1.5 2 2.50

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8



Vexp

eriim

enta

l/Vp

revi

sto

0 0.5 1 1.5 2 2.50

0.5

1

1.5

2

2.5

3

3.5

4

4.5



Expe

rimen

tal/

Vpre

vist

o

0 0.5 1 1.5 2 2.50

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

2KWAK ET AL (2002)


Expe

rimen

tal/

Vpre

vist

o

0 0.5 1 1.5 2 2.50

0.5

1

1.5

2

2.5

3

3.5

4

4.5



Expe

rimen

tal/

Vpre

vist

o

0 0.5 1 1.5 2 2.50

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

2KWAK ET AL (2002)

Df (diametro de la fibra)Ex

perim

enta

l/Vp

revi

sto

alfa f

Mpa Minelli KN Minelli

Lf/Df VRd,F (Con FibrasvRd,F (Con FibrasVRd,F (Con Fibras C1 k- 0 0.934263210243 79.24046843999 1.5 0.18 1.5986843459.05511811 135936.9552266 1.60272773093 135.9369552266 1.5 0.18 1.5986843459.05511811 148131.8504542 1.746508329257 148.1318504542 1.5 0.18 1.59868434

- 0 0.915939579621 77.68633138517 1.5 0.18 1.5986843459.05511811 127947.2489941 1.508527270728 127.9472489941 1.5 0.18 1.5986843459.05511811 134363.9322219 1.584181430649 134.3639322219 1.5 0.18 1.5986843498.42519685 127824.623665 1.507081490108 127.824623665 1.5 0.18 1.5986843498.42519685 130119.6857734 1.534140796234 130.1196857734 1.5 0.18 1.5986843475.94936709 38239.378148 1.422860582251 38.239378148 1.5 0.18 1.96448564475.94936709 38329.42877698 1.426211303329 38.32942877698 1.5 0.18 1.964485644

75.94936709 38493.77140318 1.432326377793 38.49377140318 1.5 0.18 1.964485644

75.94936709 71648.68384113 2.665997538275 71.64868384113 1.5 0.18 1.96448564475.94936709 71678.25740661 2.667097950013 71.67825740661 1.5 0.18 1.96448564475.94936709 70573.95236301 2.626007529787 70.57395236301 1.5 0.18 1.96448564475.94936709 70694.35340108 2.630487568412 70.69435340108 1.5 0.18 1.96448564475.94936709 75813.59555718 2.820970997476 75.81359555718 1.5 0.18 1.96448564475.94936709 75813.59555718 2.820970997476 75.81359555718 1.5 0.18 1.96448564475.94936709 76446.14280394 2.844507639216 76.44614280394 1.5 0.18 1.96448564475.94936709 77297.47038868 2.876184944695 77.29747038868 1.5 0.18 1.96448564475.94936709 80746.92374778 3.004536697592 80.74692374778 1.5 0.18 1.96448564475.94936709 80802.94005039 3.006621025131 80.80294005039 1.5 0.18 1.96448564475.94936709 80942.72593845 3.0118223605 80.94272593845 1.5 0.18 1.96448564475.94936709 82102.95515511 3.05499368019 82.10295515511 1.5 0.18 1.96448564475.94936709 88706.88632961 3.300721351799 88.70688632961 1.5 0.18 1.96448564475.94936709 88467.89645026 3.291828705126 88.46789645026 1.5 0.18 1.96448564475.94936709 88877.05647773 3.307053264287 88.87705647773 1.5 0.18 1.96448564459.05511811 83089.6998463 2.95430043898 83.0896998463 1.5 0.18 1.94280904259.05511811 83089.6998463 2.95430043898 83.0896998463 1.5 0.18 1.94280904259.05511811 70860.38697141 2.51948042565 70.86038697141 1.5 0.18 1.942809042

- 0 0.935011120414 30.71511530561 1.5 0.18 1.95563696559.05511811 58615.52364313 1.784338619273 58.61552364313 1.5 0.18 1.95563696559.05511811 68234.7530113 2.07716143109 68.2347530113 1.5 0.18 1.955636965

- 0 0.935011120414 30.71511530561 1.5 0.18 1.95563696559.05511811 58615.52364313 1.784338619273 58.61552364313 1.5 0.18 1.955636965

Contribucion del Hormigon +

Contribucion de las fibras

γc

59.05511811 68234.7530113 2.07716143109 68.2347530113 1.5 0.18 1.955636965- 0 1.029436313084 27.28006229673 1.5 0.18 1.97128586263.29113924 47083.71509776 1.776743965953 47.08371509776 1.5 0.18 1.97128586263.29113924 50517.56884062 1.906323352476 50.51756884062 1.5 0.18 1.971285862

- 0 1.029436313084 27.28006229673 1.5 0.18 1.97128586263.29113924 47083.71509776 1.776743965953 47.08371509776 1.5 0.18 1.97128586263.29113924 50517.56884062 1.906323352476 50.51756884062 1.5 0.18 1.971285862

- 0 1.029436313084 27.28006229673 1.5 0.18 1.97128586263.29113924 47083.71509776 1.776743965953 47.08371509776 1.5 0.18 1.97128586263.29113924 50517.56884062 1.906323352476 50.51756884062 1.5 0.18 1.97128586263.29113924 36588.14241568 1.38068461946 36.58814241568 1.5 0.18 1.97128586263.29113924 36588.14241568 1.38068461946 36.58814241568 1.5 0.18 1.97128586263.29113924 36588.14241568 1.38068461946 36.58814241568 1.5 0.18 1.971285862

- 0 0.665717357051 17.16285918212 1.5 0.18 1.99258333459.06 41564.87111703 1.612228816455 41.56487111703 1.5 0.18 1.992583334

98.42519685 48517.34743072 1.881903240011 48.51734743072 1.5 0.18 1.99258333460 43534.4825419 1.295977689387 43.5344825419 1.5 0.18 1.95130298860 43534.4825419 1.295977689387 43.5344825419 1.5 0.18 1.95130298860 43534.4825419 1.295977689387 43.5344825419 1.5 0.18 1.951302988

- 0 0.735171974773 24.69589697657 1.5 0.18 1.951302988- 0 0.735171974773 24.69589697657 1.5 0.18 1.951302988

60 48622.62312534 1.447446508851 48.62262312534 1.5 0.18 1.95130298860 48622.62312534 1.447446508851 48.62262312534 1.5 0.18 1.95130298860 48622.62312534 1.447446508851 48.62262312534 1.5 0.18 1.95130298860 54997.0626222 1.637207151173 54.9970626222 1.5 0.18 1.95130298860 54997.0626222 1.637207151173 54.9970626222 1.5 0.18 1.95130298860 54997.0626222 1.637207151173 54.9970626222 1.5 0.18 1.951302988

- 0 0.928741925341 31.19829875604 1.5 0.18 1.951302988- 0 0.928741925341 31.19829875604 1.5 0.18 1.951302988

60 61424.90487412 1.828557539715 61.42490487412 1.5 0.18 1.95130298860 61424.90487412 1.828557539715 61.42490487412 1.5 0.18 1.95130298860 61424.90487412 1.828557539715 61.42490487412 1.5 0.18 1.951302988

- 0 0.671341341228 20.10264512173 1.5 0.18 2.007585444- 0 0.671341341228 20.10264512173 1.5 0.18 2.007585444- 0 0.671341341228 20.10264512173 1.5 0.18 2.007585444- 0 0.671341341228 20.10264512173 1.5 0.18 2.007585444

60 39356.87544112 1.314349300064 39.35687544112 1.5 0.18 2.00758544460 39356.87544112 1.314349300064 39.35687544112 1.5 0.18 2.00758544460 39356.87544112 1.314349300064 39.35687544112 1.5 0.18 2.00758544460 39356.87544112 1.314349300064 39.35687544112 1.5 0.18 2.00758544460 42344.14010426 1.414111010695 42.34414010426 1.5 0.18 2.00758544460 42344.14010426 1.414111010695 42.34414010426 1.5 0.18 2.00758544460 42344.14010426 1.414111010695 42.34414010426 1.5 0.18 2.007585444

60 42344.14010426 1.414111010695 42.34414010426 1.5 0.18 2.00758544460 35875.26628801 1.180107443684 35.87526628801 1.5 0.18 260 48471.94026602 1.618753014494 48.47194026602 1.5 0.18 2.00758544460 44720.21351364 1.493461578735 44.72021351364 1.5 0.18 2.00758544460 44720.21351364 1.493461578735 44.72021351364 1.5 0.18 2.00758544460 44720.21351364 1.493461578735 44.72021351364 1.5 0.18 2.00758544460 44720.21351364 1.493461578735 44.72021351364 1.5 0.18 2.00758544460 31987.9675058 1.052235773217 31.9879675058 1.5 0.18 260 37755.90031422 1.260883659973 37.75590031422 1.5 0.18 2.00758544460 43219.71683011 1.443351483773 43.21971683011 1.5 0.18 2.00758544460 37114.15194414 1.22086026132 37.11415194414 1.5 0.18 260 43806.41629686 1.462944706681 43.80641629686 1.5 0.18 2.00758544460 50145.82865024 1.674653641806 50.14582865024 1.5 0.18 2.007585444

- 0 1.774185323679 63.87067165243 1.5 0.18 2.05409255386 113919.4942955 3.164430397097 113.9194942955 1.5 0.18 2.05409255386 118866.7454805 3.301854041124 118.8667454805 1.5 0.18 2.05409255350 84210.93269866 2.159254684581 84.21093269866 1.5 0.18 2.012739367

- 0 1.674515933058 78.70224885371 1.5 0.18 1.92253120850 146201.2018929 3.110663870061 146.2012018929 1.5 0.18 1.92253120850 145082.8999134 3.086870210924 145.0828999134 1.5 0.18 1.922531208

- 0 1.217432878821 99.82949606335 1.5 0.18 1.69843029650 182140.1000037 2.221220731752 182.1401000037 1.5 0.18 1.69843029650 182140.1000037 2.221220731752 182.1401000037 1.5 0.18 1.69843029686 176637.3171835 2.154113624189 176.6373171835 1.5 0.18 1.69843029686 176637.3171835 2.154113624189 176.6373171835 1.5 0.18 1.69843029686 175863.0586821 2.144671447343 175.8630586821 1.5 0.18 1.69843029686 191173.1697708 2.331380119156 191.1731697708 1.5 0.18 1.69843029650 352250.2923741 2.059943230258 352.2502923741 1.5 0.18 1.59234887886 340110.7929409 1.988952005502 340.1107929409 1.5 0.18 1.592348878

- 0 1.135730019489 59.0579610134 1.5 0.18 1.87705801966.7 99048.80608305 1.904784732366 99.04880608305 1.5 0.18 1.87705801966.7 103289.3658643 1.986333958928 103.2893658643 1.5 0.18 1.87705801966.7 112544.3125975 2.164313703798 112.5443125975 1.5 0.18 1.877058019

- 0 0.878933206224 45.70452672363 1.5 0.18 1.87705801966.7 75252.1613135 1.447156948337 75.2521613135 1.5 0.18 1.87705801966.7 85002.25276431 1.634658707006 85.00225276431 1.5 0.18 1.877058019

- 0 0.747578757161 39.17312687524 1.5 0.18 1.87370405766.7 64235.83761556 1.225874763656 64.23583761556 1.5 0.18 1.87370405766.7 72488.21315459 1.383362846462 72.48821315459 1.5 0.18 1.873704057

- 0 0.872635617922 45.37705213192 1.5 0.18 1.87705801966.7 74408.99373447 1.430942187201 74.40899373447 1.5 0.18 1.87705801966.7 83968.31424108 1.614775273867 83.96831424108 1.5 0.18 1.877058019

- 0 0.878933206224 45.70452672363 1.5 0.18 1.877058019

66.7 75252.1613135 1.447156948337 75.2521613135 1.5 0.18 1.87705801966.7 85002.25276431 1.634658707006 85.00225276431 1.5 0.18 1.877058019

- 0 0.920161946982 47.84842124306 1.5 0.18 1.87705801966.7 90821.35404888 1.74656450094 90.82135404888 1.5 0.18 1.87705801966.7 133263.8368323 1.625168741857 133.2638368323 1.5 0.18 1.698430296

- 0 0.779261197313 84.16020930977 1.5 0.18 1.60858061966.7 159744.9606064 1.479120005615 159.7449606064 1.5 0.18 1.60858061966.7 138513.3049957 1.505579402127 138.5133049957 1.5 0.18 1.65938047366.7 138513.3049957 1.505579402127 138.5133049957 1.5 0.18 1.65938047366.7 138513.3049957 1.505579402127 138.5133049957 1.5 0.18 1.659380473

- 0 0.793201094636 72.97450070647 1.5 0.18 1.65938047366.7 138513.3049957 1.505579402127 138.5133049957 1.5 0.18 1.65938047366.7 91697.60434906 1.763415468251 91.69760434906 1.5 0.18 1.87705801966.7 139849.6903244 1.520105329613 139.8496903244 1.5 0.18 1.65938047366.7 161286.1903221 1.493390651131 161.2861903221 1.5 0.18 1.60858061966.7 139849.6903244 1.520105329613 139.8496903244 1.5 0.18 1.65938047366.7 139849.6903244 1.520105329613 139.8496903244 1.5 0.18 1.65938047366.7 139849.6903244 1.520105329613 139.8496903244 1.5 0.18 1.659380473

- 0 0.816825404619 33.81657175123 1.5 0.18 1.851256531- 0 0.823908059271 34.10979365382 1.5 0.18 1.851256531

83.3 69916.52523126 1.688804957277 69.91652523126 1.5 0.18 1.851256531- 0 0.937735078141 54.3061138453 1.5 0.18 1.724523556- 0 0.937735078141 54.3061138453 1.5 0.18 1.72452355654.54545455 89429.73456189 1.544234952374 89.42973456189 1.5 0.18 1.72452355654.54545455 89429.73456189 1.544234952374 89.42973456189 1.5 0.18 1.72452355654.54545455 88888.12622973 1.534882688039 88.88812622973 1.5 0.18 1.72452355654.54545455 88888.12622973 1.534882688039 88.88812622973 1.5 0.18 1.72452355654.54545455 98569.66395605 1.702059399711 98.56966395605 1.5 0.18 1.72452355654.54545455 98569.66395605 1.702059399711 98.56966395605 1.5 0.18 1.72452355654.54545455 100790.0883607 1.740400752188 100.7900883607 1.5 0.18 1.72452355654.54545455 100790.0883607 1.740400752188 100.7900883607 1.5 0.18 1.72452355654.54545455 111126.3489584 1.918882942367 111.1263489584 1.5 0.18 1.72452355654.54545455 111126.3489584 1.918882942367 111.1263489584 1.5 0.18 1.724523556

80 113442.0522607 1.958869530679 113.4420522607 1.5 0.18 1.72452355680 113442.0522607 1.958869530679 113.4420522607 1.5 0.18 1.724523556

78.94736842 93588.07283029 1.616039384416 93.58807283029 1.5 0.18 1.72452355678.94736842 93588.07283029 1.616039384416 93.58807283029 1.5 0.18 1.72452355654.54545455 140997.767185 1.138639806065 140.997767185 1.5 0.18 1.57259833454.54545455 140997.767185 1.138639806065 140.997767185 1.5 0.18 1.572598334

80 126198.3116246 1.01912550775 126.1983116246 1.5 0.18 1.57259833480 126198.3116246 1.01912550775 126.1983116246 1.5 0.18 1.572598334

54.54545455 123115.5276816 0.994230216277 123.1155276816 1.5 0.18 1.57259833454.54545455 123115.5276816 0.994230216277 123.1155276816 1.5 0.18 1.572598334

80 117956.0177015 0.952564141981 117.9560177015 1.5 0.18 1.57259833480 117956.0177015 0.952564141981 117.9560177015 1.5 0.18 1.572598334

54.54545455 153695.3401548 1.241180167607 153.6953401548 1.5 0.18 1.57259833480 164974.1025699 1.33226280037 164.9741025699 1.5 0.18 1.572598334

- 0 0.521901151831 64.62701963125 1.5 0.18 1.572598334- 0 1.102578889295 16.07008731147 1.5 0.18 1.868744486

100 34977.68382743 2.39984108593 34.97768382743 1.5 0.18 1.868744486- 0 1.077885940237 15.71018757896 1.5 0.18 1.868744486

100 36207.47081564 2.484217551673 36.20747081564 1.5 0.18 1.868744486- 0 1.084858229435 15.81180869401 1.5 0.18 1.868744486

100 35074.571608 2.406488618045 35.074571608 1.5 0.18 1.868744486- 0 0.964152940063 14.05252910142 1.5 0.18 1.868744486

100 30640.02317263 2.102231435515 30.64002317263 1.5 0.18 1.868744486- 0 0.927845250042 13.52334451937 1.5 0.18 1.868744486

100 29649.81833263 2.03429285301 29.64981833263 1.5 0.18 1.868744486- 0 0.959621014447 13.98647628557 1.5 0.18 1.868744486

100 30250.41681823 2.075500296276 30.25041681823 1.5 0.18 1.868744486- 0 0.800858737844 11.67251610407 1.5 0.18 1.868744486

100 24833.61073342 1.70384979303 24.83361073342 1.5 0.18 1.868744486- 0 0.756700524778 11.02891014864 1.5 0.18 1.868744486

100 24624.5804549 1.689508092961 24.6245804549 1.5 0.18 1.868744486- 0 0.766737510102 11.17519920974 1.5 0.18 1.868744486

100 24264.67216804 1.664814556984 24.26467216804 1.5 0.18 1.868744486

0 0.5 1 1.5 2 2.50

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

2

SHARMA (1986)


Vexp

eriim

enta

l/Vp

revi

sto

0 0.5 1 1.5 2 2.50

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

2

SHARMA (1986)


Vexp

eriim

enta

l/Vp

revi

sto

0 0.5 1 1.5 2 2.50

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8



Vexp

eriim

enta

l/Vp

revi

sto

0 0.5 1 1.5 2 2.50

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

2KWAK ET AL (2002)


Expe

rimen

tal/

Vpre

vist

o

0 0.5 1 1.5 2 2.50

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

2KWAK ET AL (2002)


Expe

rimen

tal/

Vpre

vist

o

(1+7.5….) Kv Kv1 Kv2 z (mm)distancKdg (influenci0 #VALUE! 0.268306128 0.372393132 0.268306128 502.2 1.600 5.69 0.253414673 0.351724669 0.253414673 502.2 1.600 8.11 0.248145987 0.344412041 0.248145987 502.2 1.600 #VALUE! 0.271735507 0.377152908 0.271735507 502.2 1.600 4.68 0.261600025 0.363085455 0.261600025 502.2 1.600 5.23 0.258322079 0.358535859 0.258322079 502.2 1.600 5.61 0.256665294 0.35623634 0.256665294 502.2 1.600 7.02 0.257734895 0.357720882 0.257734895 502.2 1.600 6.82 0.209332664 0.219328581 0.209332664 193.5 1.870 6.81 0.265426003 0.278100454 0.265426003 193.5 1.87

0 6.81 0.298954838 0.313230336 0.298954838 193.5 1.87

0 5.52 0.239659174 0.251103223 0.239659174 193.5 1.870 5.52 0.290293717 0.304155635 0.290293717 193.5 1.870 5.49 0.332244084 0.348109188 0.332244084 193.5 1.870 5.49 0.338264322 0.354416901 0.338264322 193.5 1.870 6.81 0.208495355 0.21845129 0.208495355 193.5 1.870 6.81 0.273438261 0.286495307 0.273438261 193.5 1.870 6.81 0.315991496 0.331080517 0.315991496 193.5 1.870 6.82 0.338066756 0.354209901 0.338066756 193.5 1.870 8.13 0.199879139 0.209423638 0.199879139 193.5 1.870 8.13 0.259466219 0.271856082 0.259466219 193.5 1.870 8.12 0.310257933 0.325073169 0.310257933 193.5 1.870 8.10 0.337672316 0.353796626 0.337672316 193.5 1.870 6.81 0.300096767 0.314426793 0.300096767 193.5 1.870 6.81 0.329793945 0.345542052 0.329793945 193.5 1.870 6.81 0.341007046 0.357290594 0.341007046 193.5 1.870 6.85 0.293277256 0.311080886 0.293277256 202.5 1.870 6.85 0.293753034 0.311585547 0.293753034 202.5 1.870 6.85 0.291473211 0.309167325 0.291473211 202.5 1.870 #VALUE! 0.343790399 0.361988302 0.343790399 197.1 1.870 7.01 0.303878608 0.319963854 0.303878608 197.1 1.870 10.34 0.299582314 0.315440144 0.299582314 197.1 1.870 #VALUE! 0.336579688 0.354395904 0.336579688 197.1 1.870 7.01 0.292613893 0.308102862 0.292613893 197.1 1.87

sin armadura transversal

Ϭck(para pretensado)

0 10.34 0.292230248 0.30769891 0.292230248 197.1 1.870 #VALUE! 0.317166677 0.290524676 0.317166677 190.8 1.000 5.03 0.267066519 0.244632931 0.267066519 190.8 1.000 5.72 0.260119131 0.238269124 0.260119131 190.8 1.000 #VALUE! 0.331730286 0.303864942 0.331730286 190.8 1.000 5.03 0.314974504 0.288516645 0.314974504 190.8 1.000 5.72 0.306407045 0.280668853 0.306407045 190.8 1.000 #VALUE! 0.349863518 0.320474983 0.349863518 190.8 1.000 5.03 0.335382873 0.307210712 0.335382873 190.8 1.000 5.72 0.325057749 0.297752898 0.325057749 190.8 1.000 5.78 0.290329284 0.265941624 0.290329284 190.8 1.000 5.78 0.331101226 0.303288723 0.331101226 190.8 1.000 5.78 0.349162328 0.319832693 0.349162328 190.8 1.000 #VALUE! 0.294720285 0.350966518 0.294720285 182.7 3.000 9.47 0.266283663 0.317102875 0.266283663 182.7 3.000 12.30 0.266283663 0.317102875 0.266283663 182.7 3.000 5.48 0.278430664 0.293890253 0.278430664 198.9 1.870 5.48 0.316762128 0.334350035 0.316762128 198.9 1.870 5.48 0.328591541 0.346836264 0.328591541 198.9 1.870 #VALUE! 0.310667592 0.327917106 0.310667592 198.9 1.870 #VALUE! 0.334227157 0.352784792 0.334227157 198.9 1.870 7.63 0.278663857 0.294136395 0.278663857 198.9 1.870 7.63 0.314660354 0.332131562 0.314660354 198.9 1.870 7.63 0.327293025 0.345465649 0.327293025 198.9 1.870 5.48 0.300056933 0.316717301 0.300056933 198.9 1.870 5.48 0.336992555 0.355703737 0.336992555 198.9 1.870 5.48 0.345432873 0.364612695 0.345432873 198.9 1.870 #VALUE! 0.327875264 0.346080217 0.327875264 198.9 1.870 #VALUE! 0.354828846 0.37453037 0.354828846 198.9 1.870 7.63 0.294237031 0.310574253 0.294237031 198.9 1.870 7.63 0.32628643 0.344403164 0.32628643 198.9 1.870 7.63 0.334755277 0.353342236 0.334755277 198.9 1.870 #VALUE! 0.304577381 0.312019227 0.304577381 177.3 1.870 #VALUE! 0.322200537 0.330072975 0.322200537 177.3 1.870 #VALUE! 0.330589762 0.338667178 0.330589762 177.3 1.870 #VALUE! 0.336968599 0.345201871 0.336968599 177.3 1.870 5.76 0.288702228 0.295756191 0.288702228 177.3 1.870 5.76 0.313078597 0.320728156 0.313078597 177.3 1.870 5.76 0.322101126 0.329971136 0.322101126 177.3 1.870 5.76 0.331295359 0.339390015 0.331295359 177.3 1.870 6.91 0.279101025 0.285920398 0.279101025 177.3 1.870 6.91 0.304458946 0.311897899 0.304458946 177.3 1.870 6.91 0.319121431 0.326918637 0.319121431 177.3 1.87

0 6.91 0.327358613 0.335357081 0.327358613 177.3 1.870 6.91 0.300251347 0.30875437 0.300251347 180 1.870 6.91 0.324469455 0.332397331 0.324469455 177.3 1.870 8.11 0.271974735 0.278619989 0.271974735 177.3 1.870 8.11 0.299187143 0.306497288 0.299187143 177.3 1.870 8.11 0.315473452 0.323181525 0.315473452 177.3 1.870 8.11 0.323514328 0.331418867 0.323514328 177.3 1.870 8.52 0.304773171 0.313404251 0.304773171 180 1.870 8.52 0.322200537 0.330072975 0.322200537 177.3 1.870 8.52 0.32858299 0.336611373 0.32858299 177.3 1.870 6.60 0.284426543 0.292481413 0.284426543 180 1.870 6.60 0.288569225 0.295619938 0.288569225 177.3 1.870 6.60 0.307620852 0.31513706 0.307620852 177.3 1.870 #VALUE! 0.35913146 0.321008274 0.35913146 162 1.000 5.64 0.345957242 0.30923255 0.345957242 162 1.000 6.41 0.34284091 0.306447029 0.34284091 162 1.000 6.28 0.341337031 0.308647446 0.341337031 175.5 1.000 #VALUE! 0.345293698 0.321787165 0.345293698 211.5 1.000 5.96 0.338192755 0.315169632 0.338192755 211.5 1.000 5.94 0.31729207 0.295691803 0.31729207 211.5 1.000 #VALUE! 0.340067242 0.358116965 0.340067242 369 1.000 5.85 0.305688393 0.321913392 0.305688393 369 1.000 5.85 0.312357796 0.328936787 0.312357796 369 1.000 5.57 0.323596343 0.340771841 0.323596343 369 1.000 5.57 0.31502286 0.331743304 0.31502286 369 1.000 6.44 0.31042274 0.326899024 0.31042274 369 1.000 6.40 0.318454968 0.335357578 0.318454968 369 1.000 5.85 0.286295376 0.333203772 0.286295376 513 1.000 6.44 0.291410078 0.339156498 0.291410078 513 1.000 #VALUE! #VALUE! 0.366190222 #VALUE! 234 #VALUE!0 4.37 #VALUE! 0.359724679 #VALUE! 234 #VALUE!0 5.39 #VALUE! 0.356323953 #VALUE! 234 #VALUE!0 6.18 #VALUE! 0.345385638 #VALUE! 234 #VALUE!0 #VALUE! #VALUE! 0.280915306 #VALUE! 234 #VALUE!0 4.41 #VALUE! 0.000494639 #VALUE! 234 #VALUE!0 6.53 #VALUE! 0.000462044 #VALUE! 234 #VALUE!0 #VALUE! #VALUE! 0.320240181 #VALUE! 235.8 #VALUE!0 4.42 #VALUE! 0.317287719 #VALUE! 235.8 #VALUE!0 6.63 #VALUE! 0.298052414 #VALUE! 235.8 #VALUE!0 #VALUE! #VALUE! 0.322208787 #VALUE! 234 #VALUE!0 4.42 #VALUE! 0.328599322 #VALUE! 234 #VALUE!0 6.63 #VALUE! 0.309893268 #VALUE! 234 #VALUE!0 #VALUE! #VALUE! 0.347630938 #VALUE! 234 #VALUE!

0 4.41 #VALUE! 0.3432617 #VALUE! 234 #VALUE!0 6.53 #VALUE! 0.323786041 #VALUE! 234 #VALUE!0 #VALUE! 0.391242227 0.37137916 0.391242227 234 1.000 5.55 0.368757312 0.350035787 0.368757312 234 1.000 5.55 0.342604579 0.360788975 0.342604579 369 1.000 #VALUE! 0.327279749 0.374105929 0.327279749 486 1.000 5.55 0.318616945 0.364203677 0.318616945 486 1.000 5.55 0.324717071 0.353192261 0.324717071 414 1.000 5.55 0.30486084 0.33159479 0.30486084 414 1.000 5.55 0.305775027 0.332589145 0.305775027 414 1.000 #VALUE! 0.328638373 0.35745743 0.328638373 414 1.000 5.55 0.308737627 0.335811543 0.308737627 414 1.000 5.51 0.36030549 0.342013057 0.36030549 234 1.000 5.51 0.329487904 0.358381459 0.329487904 414 1.000 5.51 0.306449765 0.350295655 0.306449765 486 1.000 5.51 0.3275826 0.356309074 0.3275826 414 1.000 5.51 0.3259074 0.354486972 0.3259074 414 1.000 5.51 0.307064139 0.333991302 0.307064139 414 1.000 #VALUE! #VALUE! 0.339139029 #VALUE! 248.4 #VALUE!0 #VALUE! #VALUE! 0.302713594 #VALUE! 248.4 #VALUE!0 7.47 #VALUE! 0.297433263 #VALUE! 248.4 #VALUE!0 #VALUE! 0.296971983 0.37501478 0.296971983 342.9 1.870 #VALUE! 0.296971983 0.37501478 0.296971983 342.9 1.870 5.76 0.258011039 0.325815089 0.258011039 342.9 1.870 5.76 0.259671705 0.32791217 0.259671705 342.9 1.870 6.91 0.256363934 0.323735133 0.256363934 342.9 1.870 6.91 0.254744927 0.321690658 0.254744927 342.9 1.870 6.91 0.261346829 0.330027509 0.261346829 342.9 1.870 6.91 0.273656534 0.345572144 0.273656534 342.9 1.870 9.67 0.273662282 0.345579403 0.273662282 342.9 1.870 9.67 0.262666536 0.331694028 0.262666536 342.9 1.870 8.08 0.263992437 0.33336837 0.263992437 342.9 1.870 8.08 0.263992437 0.33336837 0.263992437 342.9 1.870 7.70 0.268051692 0.338494377 0.268051692 342.9 1.870 7.70 0.257493493 0.325161535 0.257493493 342.9 1.870 6.88 0.251575485 0.317688303 0.251575485 342.9 1.870 6.88 0.251575485 0.317688303 0.251575485 342.9 1.870 5.60 0.172503037 0.269010199 0.172503037 549 1.870 5.60 0.176488942 0.275226027 0.176488942 549 1.870 8.30 0.174473228 0.272082617 0.174473228 549 1.870 8.30 0.174473228 0.272082617 0.174473228 549 1.870 5.85 0.16612491 0.259063816 0.16612491 549 1.870 5.85 0.163984964 0.255726674 0.163984964 549 1.87

0 8.16 0.180237092 0.281071086 0.180237092 549 1.870 8.16 0.188232181 0.293539043 0.188232181 549 1.870 8.12 0.163932359 0.255644639 0.163932359 549 1.870 10.50 0.165640293 0.258308079 0.165640293 549 1.870 #VALUE! 0.203259396 0.316973263 0.203259396 549 1.870 #VALUE! 0.32824554 0.348945619 0.32824554 238.5 1.600 10.24 0.303955119 0.323123376 0.303955119 238.5 1.600 #VALUE! 0.356108913 0.378566134 0.356108913 238.5 1.600 9.53 0.320089901 0.340275663 0.320089901 238.5 1.600 #VALUE! 0.357673523 0.380229413 0.357673523 238.5 1.600 10.17 0.33395454 0.355014645 0.33395454 238.5 1.600 #VALUE! 0.322105142 0.342417991 0.322105142 238.5 1.600 9.91 0.282571151 0.300390876 0.282571151 238.5 1.600 #VALUE! 0.347545467 0.369462653 0.347545467 238.5 1.600 10.67 0.310788609 0.330387805 0.310788609 238.5 1.600 #VALUE! 0.350983814 0.373117833 0.350983814 238.5 1.600 10.19 0.313959655 0.333758826 0.313959655 238.5 1.600 #VALUE! 0.298305632 0.317117617 0.298305632 238.5 1.600 10.22 0.240761345 0.255944427 0.240761345 238.5 1.600 #VALUE! 0.334645826 0.355749525 0.334645826 238.5 1.600 10.42 0.279732339 0.297373041 0.279732339 238.5 1.600 #VALUE! 0.334154004 0.355226688 0.334154004 238.5 1.600 10.78 0.243280301 0.321036429 0.243280301 238.5 3.00

0 0.5 1 1.5 2 2.50

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

2

SHARMA (1986)


Vexp

eriim

enta

l/Vp

revi

sto

0 0.5 1 1.5 2 2.50

0.5

1

1.5

2

2.5

3

3.5

4 Mansur (1986)

Armadura Transversal

Expe

rimen

tal/

Vpre

vist

o

0 0.5 1 1.5 2 2.50

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

2

SHARMA (1986)


Vexp

eriim

enta

l/Vp

revi

sto

0 0.5 1 1.5 2 2.50

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8



Vexp

eriim

enta

l/Vp

revi

sto

0 0.5 1 1.5 2 2.50

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

2KWAK ET AL (2002)


Expe

rimen

tal/

Vpre

vist

o

0 0.5 1 1.5 2 2.50

0.5

1

1.5

2

2.5

3

3.5

4 Mansur (1986)


Expe

rimen

tal/

Vpre

vist

o

0 0.5 1 1.5 2 2.50

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8



Expe

rimen

tal/

Vpre

vist

o

0 0.5 1 1.5 2 2.50

0.5

1

1.5

2

2.5

3

3.5

4

4.5



Expe

rimen

tal/

Vpre

vist

o

0 0.5 1 1.5 2 2.50

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

2KWAK ET AL (2002)


Expe

rimen

tal/

Vpre

vist

o

0 0.5 1 1.5 2 2.50

0.5

1

1.5

2

2.5

3

3.5

4

4.5



Expe

rimen

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Vpre

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0 0.5 1 1.5 2 2.50

0.5

1

1.5

2

2.5

3

3.5



Expe

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Vpre

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0 0.5 1 1.5 2 2.50

0.5

1

1.5

2

2.5

3

3.5



Expe

rimen

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o

ρw >0.08*Raiz(fck/fyk)

Kdg (influenci0.08*Raiz(fck/fyk) fFtuk>Raiz(fck)/20 fFtuk fFtuk#DIV/0! 0.36 1.50 #VALUE!#DIV/0! 0.34 1.42 2.41#DIV/0! 0.32 1.36 3.43#DIV/0! 0.35 1.46 #VALUE!#DIV/0! 0.34 1.43 1.91#DIV/0! 0.35 1.45 2.25#DIV/0! 0.31 1.30 2.12#DIV/0! 0.29 1.19 2.47#DIV/0! 0.46 1.85 4.12#DIV/0! 0.46 1.86 4.14

#DIV/0! 0.46 1.87 4.16

#DIV/0! 0.48 1.92 3.33#DIV/0! 0.48 1.92 3.34#DIV/0! 0.47 1.89 3.25#DIV/0! 0.47 1.89 3.26#DIV/0! 0.47 1.89 4.20#DIV/0! 0.47 1.89 4.20#DIV/0! 0.47 1.91 4.25#DIV/0! 0.48 1.94 4.33#DIV/0! 0.47 1.90 5.18#DIV/0! 0.47 1.90 5.19#DIV/0! 0.47 1.91 5.20#DIV/0! 0.48 1.95 5.30#DIV/0! 0.47 1.88 4.18#DIV/0! 0.46 1.87 4.16#DIV/0! 0.47 1.88 4.19#DIV/0! 0.45 1.83 4.09#DIV/0! 0.45 1.83 4.09#DIV/0! 0.45 1.83 4.09#DIV/0! 0.29 1.19 #VALUE!#DIV/0! 0.29 1.19 2.47#DIV/0! 0.30 1.23 4.01#DIV/0! 0.29 1.19 #VALUE!#DIV/0! 0.29 1.19 2.47

conarmadurada transversal

si se cumple se necesita minima cantidad de cercos

Mpa-Resistencia ultima a la tension residual paraHRF w=1.5mm

Mpa-Resistencia ultima a la tension residual paraHRF w=1.5mm

#DIV/0! 0.30 1.23 4.01#DIV/0! 0.37 1.53 #VALUE!#DIV/0! 0.37 1.54 2.33#DIV/0! 0.39 1.60 2.84#DIV/0! 0.37 1.53 #VALUE!#DIV/0! 0.37 1.54 2.33#DIV/0! 0.39 1.60 2.84#DIV/0! 0.37 1.53 #VALUE!#DIV/0! 0.37 1.54 2.33#DIV/0! 0.39 1.60 2.84#DIV/0! 0.24 0.98 1.54#DIV/0! 0.24 0.98 1.54#DIV/0! 0.24 0.98 1.54#DIV/0! 0.16 0.68 #VALUE!#DIV/0! 0.19 0.80 2.03#DIV/0! 0.21 0.88 3.10#DIV/0! 0.25 1.05 1.57#DIV/0! 0.25 1.05 1.57#DIV/0! 0.25 1.05 1.57#DIV/0! 0.25 1.05 #VALUE!#DIV/0! 0.25 1.05 #VALUE!#DIV/0! 0.25 1.05 2.33#DIV/0! 0.25 1.05 2.33#DIV/0! 0.25 1.05 2.33#DIV/0! 0.25 1.05 1.57#DIV/0! 0.25 1.05 1.57#DIV/0! 0.25 1.05 1.57#DIV/0! 0.25 1.05 #VALUE!#DIV/0! 0.25 1.05 #VALUE!#DIV/0! 0.25 1.05 2.33#DIV/0! 0.25 1.05 2.33#DIV/0! 0.25 1.05 2.33#DIV/0! 0.20 0.84 #VALUE!#DIV/0! 0.20 0.84 #VALUE!#DIV/0! 0.20 0.84 #VALUE!#DIV/0! 0.20 0.84 #VALUE!#DIV/0! 0.23 0.95 1.45#DIV/0! 0.23 0.95 1.45#DIV/0! 0.23 0.95 1.45#DIV/0! 0.23 0.95 1.45#DIV/0! 0.23 0.96 1.85#DIV/0! 0.23 0.96 1.85#DIV/0! 0.23 0.96 1.85

#DIV/0! 0.23 0.96 1.85#DIV/0! 0.23 0.96 1.85#DIV/0! 0.23 0.96 1.85#DIV/0! 0.23 0.97 2.23#DIV/0! 0.23 0.97 2.23#DIV/0! 0.23 0.97 2.23#DIV/0! 0.23 0.97 2.23#DIV/0! 0.18 0.75 1.63#DIV/0! 0.18 0.75 1.63#DIV/0! 0.18 0.75 1.63#DIV/0! 0.25 1.04 1.94#DIV/0! 0.25 1.04 1.94#DIV/0! 0.25 1.04 1.94#DIV/0! 0.46 1.84 #VALUE!#DIV/0! 0.46 1.85 3.28#DIV/0! 0.46 1.85 3.82#DIV/0! 0.30 1.26 2.34#DIV/0! 0.47 1.90 #VALUE!#DIV/0! 0.49 1.97 3.75#DIV/0! 0.48 1.95 3.70#DIV/0! 0.42 1.72 #VALUE!#DIV/0! 0.43 1.75 3.22#DIV/0! 0.43 1.75 3.22#DIV/0! 0.42 1.72 2.97#DIV/0! 0.42 1.72 2.97#DIV/0! 0.39 1.60 3.27#DIV/0! 0.44 1.79 3.69#DIV/0! 0.43 1.75 3.22#DIV/0! 0.39 1.60 3.27#DIV/0! 0.30 1.25 #VALUE!#DIV/0! 0.31 1.30 1.55#DIV/0! 0.30 1.24 1.91#DIV/0! 0.32 1.33 2.44#DIV/0! 0.29 1.19 #VALUE!#DIV/0! 0.29 1.19 1.41#DIV/0! 0.28 1.18 2.24#DIV/0! 0.28 1.17 #VALUE!#DIV/0! 0.28 1.17 1.38#DIV/0! 0.28 1.14 2.21#DIV/0! 0.28 1.17 #VALUE!#DIV/0! 0.28 1.17 1.38#DIV/0! 0.28 1.14 2.21#DIV/0! 0.29 1.19 #VALUE!

#DIV/0! 0.29 1.19 1.41#DIV/0! 0.28 1.18 2.24#DIV/0! 0.25 1.01 #VALUE!#DIV/0! 0.27 1.12 1.75#DIV/0! 0.27 1.12 1.75#DIV/0! 0.25 1.01 #VALUE!#DIV/0! 0.27 1.12 1.75#DIV/0! 0.27 1.12 1.75#DIV/0! 0.27 1.12 1.75#DIV/0! 0.27 1.12 1.75#DIV/0! 0.25 1.01 #VALUE!#DIV/0! 0.27 1.12 1.75#DIV/0! 0.28 1.15 1.77#DIV/0! 0.28 1.15 1.77#DIV/0! 0.28 1.15 1.77#DIV/0! 0.28 1.15 1.77#DIV/0! 0.28 1.15 1.77#DIV/0! 0.28 1.15 1.77#DIV/0! 0.29 1.21 #VALUE!#DIV/0! 0.30 1.23 #VALUE!#DIV/0! 0.32 1.33 3.06#DIV/0! 0.29 1.22 #VALUE!#DIV/0! 0.29 1.22 #VALUE!#DIV/0! 0.30 1.26 2.11#DIV/0! 0.30 1.26 2.11#DIV/0! 0.27 1.13 2.29#DIV/0! 0.27 1.13 2.29#DIV/0! 0.27 1.13 2.29#DIV/0! 0.27 1.13 2.29#DIV/0! 0.24 0.99 2.81#DIV/0! 0.24 0.99 2.81#DIV/0! 0.30 1.26 3.14#DIV/0! 0.30 1.26 3.14#DIV/0! 0.32 1.34 3.20#DIV/0! 0.32 1.34 3.20#DIV/0! 0.30 1.23 2.53#DIV/0! 0.30 1.23 2.53#DIV/0! 0.33 1.38 2.25#DIV/0! 0.33 1.38 2.25#DIV/0! 0.23 0.94 2.20#DIV/0! 0.23 0.94 2.20#DIV/0! 0.29 1.21 2.05#DIV/0! 0.29 1.21 2.05

#DIV/0! 0.23 0.96 2.22#DIV/0! 0.23 0.96 2.22#DIV/0! 0.30 1.25 3.13#DIV/0! 0.29 1.22 4.05#DIV/0! 0.27 1.11 #VALUE!#DIV/0! 0.26 1.08 #VALUE!#DIV/0! 0.26 1.08 3.37#DIV/0! 0.25 1.04 #VALUE!#DIV/0! 0.29 1.19 3.50#DIV/0! 0.26 1.05 #VALUE!#DIV/0! 0.26 1.09 3.38#DIV/0! 0.27 1.10 #VALUE!#DIV/0! 0.27 1.13 3.43#DIV/0! 0.25 1.04 #VALUE!#DIV/0! 0.25 1.03 3.31#DIV/0! 0.27 1.09 #VALUE!#DIV/0! 0.26 1.09 3.38#DIV/0! 0.27 1.12 #VALUE!#DIV/0! 0.26 1.08 3.38#DIV/0! 0.25 1.02 #VALUE!#DIV/0! 0.26 1.06 3.35#DIV/0! 0.25 1.05 #VALUE!#DIV/0! 0.25 1.02 3.30

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4 Mansur (1986)


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2SHARMA (1986)


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2KWAK ET AL (2002)


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2KWAK ET AL (2002)


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RI=Vf*Lf/Df

RI vmin=0.035… VRd,Fmin As#VALUE! 0.510168685078 43270.46719361 3767.7344

44.29 0.480355301624 40741.81526255 3767.734488.58 0.457951132242 38841.58323224 3767.7344

#VALUE! 0.495233672012 42003.73912535 3767.734423.62 0.483988510722 41049.96952542 3767.734435.43 0.492700490837 41788.88483081 3767.734439.37 0.441252243259 37425.25026428 3767.734459.06 0.405180977164 34365.82975916 3767.734475.95 0.883244570987 23737.19784527 103.225675.95 0.886393402974 23821.82270493 103.2256

75.95 0.892137396767 23976.19253811 103.2256

37.97 0.919310096318 24706.45883855 774.19237.97 0.919815073064 24720.0300886 774.19237.97 0.900942449462 24212.82832929 774.19237.97 0.903001749176 24268.1720091 774.19275.95 0.900426888647 24198.9726324 774.19275.95 0.900426888647 24198.9726324 774.19275.95 0.911701881948 24501.98807734 774.19275.95 0.926855859796 24909.25123203 774.192

113.92 0.906081923268 24350.95168783 774.192113.92 0.907106323734 24378.48245036 774.192113.92 0.909662277867 24447.17371768 774.192113.92 0.930855256409 25016.73501598 774.192

75.95 0.896291726088 24087.84013863 1251.610475.95 0.892657745249 23990.17690357 1251.610475.95 0.898878431975 24157.35785933 1251.610476.77 0.858262514097 24138.63320899 1019.352876.77 0.858262514097 24138.63320899 1019.352876.77 0.858262514097 24138.63320899 632.2568

#VALUE! 0.551530383726 18117.77310539 625.805259.06 0.549032874816 18035.72993772 625.8052

118.11 0.567899821974 18655.50915183 625.8052#VALUE! 0.551530383726 18117.77310539 625.8052

59.06 0.549032874816 18035.72993772 625.8052

Area de Refuerzo longitudinal TOTAL

118.11 0.567899821974 18655.50915183 625.8052#VALUE! 0.715795191469 18968.57257392 399.9992

31.65 0.723618322077 19175.88553503 399.999247.47 0.754099698783 19983.64201775 399.9992

#VALUE! 0.715795191469 18968.57257392 399.999231.65 0.723618322077 19175.88553503 399.999247.47 0.754099698783 19983.64201775 399.9992

#VALUE! 0.715795191469 18968.57257392 399.999231.65 0.723618322077 19175.88553503 399.999247.47 0.754099698783 19983.64201775 399.999231.65 0.462551271087 12257.6086838 399.999231.65 0.462551271087 12257.6086838 399.999231.65 0.462551271087 12257.6086838 399.9992

#VALUE! 0.308180973364 7945.213674303 567.740859.06 0.377443066588 9730.859699713 567.740898.43 0.417665917439 10767.84501751 567.740830.00 0.486371321724 16338.18543934 554.837630.00 0.486371321724 16338.18543934 554.837630.00 0.486371321724 16338.18543934 554.8376

#VALUE! 0.486371321724 16338.18543934 554.8376#VALUE! 0.486371321724 16338.18543934 554.8376

60.00 0.486371321724 16338.18543934 554.837660.00 0.486371321724 16338.18543934 554.837660.00 0.486371321724 16338.18543934 554.837630.00 0.486371321724 16338.18543934 961.288430.00 0.486371321724 16338.18543934 961.288430.00 0.486371321724 16338.18543934 961.2884

#VALUE! 0.486371321724 16338.18543934 961.2884#VALUE! 0.486371321724 16338.18543934 961.2884

60.00 0.486371321724 16338.18543934 961.288460.00 0.486371321724 16338.18543934 961.288460.00 0.486371321724 16338.18543934 961.2884

#VALUE! 0.400715931044 11999.03783918 399.9992#VALUE! 0.400715931044 11999.03783918 399.9992#VALUE! 0.400715931044 11999.03783918 399.9992#VALUE! 0.400715931044 11999.03783918 399.9992

30.00 0.457320141464 13693.99431601 399.999230.00 0.457320141464 13693.99431601 399.999230.00 0.457320141464 13693.99431601 399.999230.00 0.457320141464 13693.99431601 399.999245.00 0.465909063406 13951.18099463 399.999245.00 0.465909063406 13951.18099463 399.999245.00 0.465909063406 13951.18099463 399.9992

45.00 0.465909063406 13951.18099463 399.999245.00 0.463270979018 14083.43776214 238.709245.00 0.465909063406 13951.18099463 599.998860.00 0.466971571202 13982.99672807 399.999260.00 0.466971571202 13982.99672807 399.999260.00 0.466971571202 13982.99672807 399.999260.00 0.466971571202 13982.99672807 399.999245.00 0.351397211144 10682.47521879 238.709245.00 0.353398233308 10582.15669818 399.999245.00 0.353398233308 10582.15669818 599.998845.00 0.498918831074 15167.13246464 238.709245.00 0.501759911217 15024.69878148 399.999245.00 0.501759911217 15024.69878148 599.9988

#VALUE! 0.938156564702 33773.63632927 1619.351643.00 0.940981493001 33875.33374803 1619.351664.50 0.940981493001 33875.33374803 1619.351650.00 0.606280032508 23644.92126781 1206.4492

#VALUE! 0.880183342324 41368.61708923 2174.189250.00 0.913189472954 42919.90522886 2174.189250.00 0.903606946784 42469.52649886 2174.1892

#VALUE! 0.653242506684 53565.88554805 2858.058850.00 0.665530276329 54573.48265898 2858.058850.00 0.665530276329 54573.48265898 2858.058843.00 0.651402383291 53414.99542986 2858.058843.00 0.651402383291 53414.99542986 2858.058864.50 0.602085413163 49371.0038794 2858.058864.50 0.684206093448 56104.89966277 2858.058850.00 0.60416222052 103311.7397089 5361.279664.50 0.546567561383 93463.05299646 5361.2796

#VALUE! 0.540052324667 28082.7208827 1851.609216.68 0.561383172036 29191.92494587 1851.609234.02 0.537797399058 27965.46475102 1851.609250.69 0.571395890419 29712.58630178 1851.6092

#VALUE! 0.515491503293 26805.55817123 941.933616.68 0.66 0.66 0.66 0.6650.69 0.66 0.66 0.66 0.66

#VALUE! 0.508594964671 26650.37614877 599.998816.68 0.507802142732 26608.83227917 599.998850.69 0.49738046919 26062.73658556 599.9988

#VALUE! 0.509961166263 26517.98064565 941.933616.68 0.509166214624 26476.64316043 941.933650.69 0.498716546099 25933.26039717 941.9336

#VALUE! 0.515491503293 26805.55817123 941.9336

16.68 0.518625219107 26968.51139355 941.933650.69 0.511547363456 26600.46289973 941.9336

#VALUE! 0.441868569336 22977.16560549 1470.964833.35 0.490526883603 25507.39794736 1470.964833.35 0.422199642226 34620.37066253 2522.5756

#VALUE! 0.350542608058 37858.60167027 2948.381233.35 0.389144159674 42027.56924481 2948.381233.35 0.407723019569 37510.51780037 2412.898433.35 0.407723019569 37510.51780037 2412.898433.35 0.407723019569 37510.51780037 2412.8984

#VALUE! 0.367278519006 33789.62374858 2412.898433.35 0.407723019569 37510.51780037 2412.898433.35 0.499528127671 25975.46263892 1470.964833.35 0.415204799945 38198.84159493 2412.898433.35 0.396285015102 42798.78163097 2948.381233.35 0.415204799945 38198.84159493 2412.898433.35 0.415204799945 38198.84159493 2412.898433.35 0.415204799945 38198.84159493 2412.8984

#VALUE! 0.516315317926 21375.45416215 664.5148#VALUE! 0.523045272971 21654.07430099 664.5148

74.97 0.561734330344 23255.80127625 664.5148#VALUE! 0.467585852814 27078.83190815 1806.448#VALUE! 0.467585852814 27078.83190815 1806.448

40.91 0.480834532405 27846.08944066 1393.545640.91 0.480834532405 27846.08944066 1393.545654.55 0.434865534295 25183.93282207 1393.545654.55 0.434865534295 25183.93282207 1393.545654.55 0.434865534295 25183.93282207 1806.44854.55 0.434865534295 25183.93282207 1806.44881.82 0.380133075016 22014.26664031 1806.44881.82 0.380133075016 22014.26664031 1806.44881.82 0.481487396973 27883.89813348 1806.44881.82 0.481487396973 27883.89813348 1806.44880.00 0.508768657365 29463.81048535 1806.44880.00 0.508768657365 29463.81048535 1806.44859.21 0.470932966782 27272.66997228 1393.545659.21 0.470932966782 27272.66997228 1393.545640.91 0.451561228454 55916.82691947 1393.545640.91 0.451561228454 55916.82691947 1393.545660.00 0.314036359471 38887.1223933 1393.545660.00 0.314036359471 38887.1223933 1393.545640.91 0.404242360633 50057.33151719 1161.28840.91 0.404242360633 50057.33151719 1161.288

60.00 0.320790602275 39723.50027965 1161.28860.00 0.320790602275 39723.50027965 1161.28881.82 0.416433302565 51566.93585661 1450.31968

120.00 0.407178073569 50420.8608501 1450.31968#VALUE! 0.371701026359 46027.73809404 1161.288#VALUE! 0.468024094741 6821.45118085 632.2568

100.00 0.469729106197 6846.301722826 632.2568#VALUE! 0.45238991335 6593.582987079 632.2568

100.00 0.512850613634 7474.797693716 632.2568#VALUE! 0.456786420089 6657.662072801 632.2568

100.00 0.473120696134 6895.734146156 632.2568#VALUE! 0.477326296141 6957.030766252 406.4508

100.00 0.488091295423 7113.930630789 406.4508#VALUE! 0.450619300242 6567.776301021 406.4508

100.00 0.447950258203 6528.875013307 406.4508#VALUE! 0.473964801526 6908.036982246 406.4508

100.00 0.47227508206 6883.409321029 406.4508#VALUE! 0.484804447964 7066.02482908 225.806

100.00 0.47057929532 6858.693229296 225.806#VALUE! 0.44526521748 6489.740544777 225.806

100.00 0.460273389932 6708.48465826 225.806#VALUE! 0.454153623405 6619.289061127 225.806

100.00 0.442563886882 6450.368651298 225.806

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2SHARMA (1986)


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2SHARMA (1986)


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2KWAK ET AL (2002)


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2KWAK ET AL (2002)


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RILEM

Vu=Vfu+Vcu (N) vu (Mpa) Vu (KN)0 79240.468439986 79240.468439986 0.9342632102432 79.240468439986

39770.7178666687 76122.474055851 115893.19192252 1.3664071864096 115.8931919225245559.5876923073 73736.739052086 119296.32674439 1.4065309227551 119.29632674439

0 77686.331385166 77686.331385166 0.9159395796214 77.68633138516629064.5785834946 76505.831109984 105570.40969348 1.2446992276632 105.5704096934835962.3976633714 77421.188259897 113383.58592327 1.3368183588388 113.38358592327

34827.075655888 71933.156857001 106760.23251289 1.2587275102916 106.7602325128938874.394047507 67957.469824216 106831.86387172 1.2595720603627 106.83186387172

17739.3053683976 20169.013414636 37908.318783034 1.4105420942524 37.90831878303417739.3053683976 20216.920989904 37956.226358302 1.4123247017043 37.956226358302

17739.3053683976 20304.166531678 38043.471900076 1.4155710474447 38.043471900076

15874.6631519458 40547.035880777 56421.699032723 2.0994120570316 56.42169903272315890.6981652306 40561.882837754 56452.581002985 2.1005611535994 56.45258100298515297.4026736932 40005.139714417 55302.542388111 2.0577690190925 55.30254238811115361.5427268324 40066.076807408 55427.61953424 2.0624230524368 55.4276195342417739.3053683976 39989.876401332 57729.181769729 2.1480625774783 57.72918176972917739.3053683976 39989.876401332 57729.181769729 2.1480625774783 57.72918176972917739.3053683976 40323.014536546 58062.319904943 2.1604584150677 58.06231990494317739.3053683976 40768.608781775 58507.914150173 2.1770386660529 58.50791415017317739.3053683976 40157.13638609 57896.441754488 2.1542862048182 57.89644175448817739.3053683976 40187.397992408 57926.703360805 2.1554122180765 57.92670336080517739.3053683976 40262.853291606 58002.158660004 2.1582198571164 58.00215866000417739.3053683976 40885.802696401 58625.108064799 2.181399369853 58.62510806479917739.3053683976 46790.481145336 64529.786513734 2.4011083353947 64.52978651373417739.3053683976 46663.922038821 64403.227407218 2.3963991593384 64.40322740721817739.3053683976 46880.463061483 64619.76842988 2.4044564997165 64.6197684298818359.5454429505 43757.500552385 62117.045995335 2.2086060798341 62.11704599533518359.5454429505 43757.500552385 62117.045995335 2.2086060798341 62.11704599533518359.5454429505 37317.181645613 55676.727088563 1.9796169631489 55.676727088563

0 30715.115305615 30715.115305615 0.9350111204145 30.71511530561518463.3235906899 30622.319829819 49085.643420508 1.4942357205634 49.085643420508

21585.538566374 31319.898307125 52905.436873499 1.6105155821461 52.9054368734990 30715.115305615 30715.115305615 0.9350111204145 30.715115305615

18463.3235906899 30622.319829819 49085.643420508 1.4942357205634 49.085643420508

Vfu (contribucion de las fibras)

Vcu (Contribucion del Concreto)

21585.538566374 31319.898307125 52905.436873499 1.6105155821461 52.9054368734990 27280.062296734 27280.062296734 1.0294363130843 27.280062296734

14235.5155578207 27478.469720851 41713.985278671 1.5741126520253 41.71398527867116954.0190250445 28244.811773353 45198.830798398 1.7056162565433 45.198830798398

0 27280.062296734 27280.062296734 1.0294363130843 27.28006229673414235.5155578207 27478.469720851 41713.985278671 1.5741126520253 41.71398527867116954.0190250445 28244.811773353 45198.830798398 1.7056162565433 45.198830798398

0 27280.062296734 27280.062296734 1.0294363130843 27.28006229673414235.5155578207 27478.469720851 41713.985278671 1.5741126520253 41.71398527867116954.0190250445 28244.811773353 45198.830798398 1.7056162565433 45.1988307983989290.35561947172 20390.416294525 29680.771913997 1.1200291288301 29.6807719139979290.35561947172 20390.416294525 29680.771913997 1.1200291288301 29.6807719139979290.35561947172 20390.416294525 29680.771913997 1.1200291288301 29.680771913997

0 17162.85918212 17162.85918212 0.6657173570505 17.162859182129684.02135525405 19646.569348709 29330.590703963 1.1376824290743 29.33059070396313271.6353785799 21018.664385589 34290.299764169 1.3300608884127 34.29029976416912165.8545058921 24695.896976569 36861.751482461 1.0973372077417 36.86175148246112165.8545058921 24695.896976569 36861.751482461 1.0973372077417 36.86175148246112165.8545058921 24695.896976569 36861.751482461 1.0973372077417 36.861751482461

0 24695.896976569 24695.896976569 0.7351719747728 24.6958969765690 24695.896976569 24695.896976569 0.7351719747728 24.695896976569

16958.3352206936 24695.896976569 41654.232197262 1.2400045307592 41.65423219726216958.3352206936 24695.896976569 41654.232197262 1.2400045307592 41.65423219726216958.3352206936 24695.896976569 41654.232197262 1.2400045307592 41.65423219726212165.8545058921 31198.298756043 43364.153261935 1.2909071583096 43.36415326193512165.8545058921 31198.298756043 43364.153261935 1.2909071583096 43.36415326193512165.8545058921 31198.298756043 43364.153261935 1.2909071583096 43.364153261935

0 31198.298756043 31198.298756043 0.9287419253406 31.1982987560430 31198.298756043 31198.298756043 0.9287419253406 31.198298756043

16958.3352206936 31198.298756043 48156.633976736 1.433574481327 48.15663397673616958.3352206936 31198.298756043 48156.633976736 1.433574481327 48.15663397673616958.3352206936 31198.298756043 48156.633976736 1.433574481327 48.156633976736

0 20102.645121725 20102.645121725 0.6713413412278 20.1026451217250 20102.645121725 20102.645121725 0.6713413412278 20.1026451217250 20102.645121725 20102.645121725 0.6713413412278 20.1026451217250 20102.645121725 20102.645121725 0.6713413412278 20.102645121725

9955.5726082331 21953.765429759 31909.338037992 1.0656337843305 31.9093380379929955.5726082331 21953.765429759 31909.338037992 1.0656337843305 31.9093380379929955.5726082331 21953.765429759 31909.338037992 1.0656337843305 31.9093380379929955.5726082331 21953.765429759 31909.338037992 1.0656337843305 31.909338037992

12526.5599834856 22227.787663145 34754.34764663 1.1606447918324 34.7543476466312526.5599834856 22227.787663145 34754.34764663 1.1606447918324 34.7543476466312526.5599834856 22227.787663145 34754.34764663 1.1606447918324 34.75434764663

12526.5599834856 22227.787663145 34754.34764663 1.1606447918324 34.7543476466312669.2687675849 18832.069784514 31501.338552099 1.0362282418454 31.50133855209912526.5599834856 25444.465118453 37971.025101939 1.2680678968053 37.97102510193914306.5562704262 22261.568547435 36568.124817861 1.2212170991805 36.56812481786114306.5562704262 22261.568547435 36568.124817861 1.2212170991805 36.56812481786114306.5562704262 22261.568547435 36568.124817861 1.2212170991805 36.56812481786114306.5562704262 22261.568547435 36568.124817861 1.2212170991805 36.5681248178619318.43441759364 15662.948919296 24981.38333689 0.8217560308187 24.981383336899213.46999779645 18487.224545179 27700.694542976 0.9250833069388 27.7006945429769213.46999779645 21162.589242148 30376.059239945 1.0144289086276 30.376059239945

13578.551909722 19786.148098345 33364.700008067 1.0975230265811 33.36470000806713425.6008066698 23353.90127766 36779.50208433 1.228276185023 36.7795020843313425.6008066698 26733.543411722 40159.144218392 1.3411416049423 40.159144218392

0 63870.671652429 63870.671652429 1.7741853236786 63.87067165242921804.1707504711 63998.823423895 85802.994174366 2.3834165048435 85.80299417436624846.3035257989 63998.823423895 88845.126949694 2.4679201930471 88.84512694969422254.7267339364 45652.455790199 67907.182524135 1.7412098083112 67.907182524135

0 78702.248853712 78702.248853712 1.6745159330577 78.70224885371230360.6128371922 80657.664577298 111018.27741449 2.3620910088189 111.0182774144930360.6128371922 80092.420606387 110453.03344358 2.3500645413528 110.45303344358

0 99829.496063353 99829.496063353 1.2174328788214 99.82949606335346186.0552389474 101077.49396811 147263.54920705 1.7958969415494 147.2635492070546186.0552389474 101077.49396811 147263.54920705 1.7958969415494 147.2635492070542431.5042630578 99641.934332561 142073.43859562 1.7326029097027 142.0734385956242431.5042630578 99641.934332561 142073.43859562 1.7326029097027 142.0734385956246795.1515090434 94547.051881815 141342.20339086 1.7236854072056 141.3422033908646795.1515090434 102959.68680232 149754.83831136 1.8262785159923 149.7548383113690299.1426366717 195479.06694895 285778.20958562 1.6712175999159 285.7782095856291489.9971205264 182849.50248631 274339.49960683 1.6043245591043 274.33949960683

0 59057.961013403 59057.961013403 1.1357300194885 59.05796101340315793.3592556496 60603.003574955 76396.362830605 1.4691608236655 76.396362830605

22413.888226063 58893.453306067 81307.341532131 1.5636027217717 81.30734153213129083.3470722682 61321.48035805 90404.827430318 1.73855437366 90.404827430318

0 45704.526723635 45704.526723635 0.8789332062237 45.70452672363514534.5728798059 45889.567311304 0.66 0.66 0.0006625831.7927412072 45471.098104858 0.66 0.66 0.00066

0 39173.12687524 39173.12687524 0.7475787571611 39.1731268752414409.4418926295 39132.406339783 53541.848232413 1.0217909968018 53.54184823241325330.4308709222 38595.14588529 63925.576756213 1.2199537548896 63.925576756213

0 45377.052131924 45377.052131924 0.8726356179216 45.37705213192414325.0424087525 45329.882605066 59654.925013819 1.1472100964196 59.65492501381925182.0645908249 44707.535154234 69889.599745059 1.3440307643281 69.889599745059

0 45704.526723635 45704.526723635 0.8789332062237 45.704526723635

14534.5728798059 45889.567311304 60424.140191109 1.1620026959829 60.42414019110926223.1835403164 45471.098104858 71694.281645174 1.3787361854841 71.694281645174

0 47848.421243059 47848.421243059 0.9201619469819 47.84842124305920337.5257937019 51299.612160118 71637.13795382 1.3776372683427 71.6371379538229018.7470405375 75272.860838286 104291.60787882 1.271848876571 104.29160787882

0 84160.209309767 84160.209309767 0.7792611973127 84.16020930976736197.923992521 90230.481690798 126428.40568332 1.1706333859567 126.42840568332

42181.5838066384 78237.974975264 120419.5587819 1.3089082476294 120.419558781947367.8441107333 78237.974975264 125605.819086 1.3652806422391 125.60581908660333.4948709705 78237.974975264 138571.46984623 1.5062116287634 138.57146984623

0 72974.500706472 72974.500706472 0.7932010946356 72.97450070647273299.1456312078 78237.974975264 151537.12060647 1.6471426152877 151.5371206064720623.1206324339 51925.278848971 72548.399481405 1.3951615284886 72.54839948140532255.7499963673 79192.190663923 111447.94066029 1.211390659351 111.4479406602936706.2424757987 91330.961876436 128037.20435223 1.1855296699281 128.0372043522342773.9293430088 79192.190663923 121966.12000693 1.3257186957275 121.9661200069348033.0190163295 79192.190663923 127225.20968025 1.3828827139158 127.2252096802556447.5624936427 79192.190663923 135639.75315757 1.474345143017 135.63975315757

0 33816.571751226 33816.571751226 0.816825404619 33.8165717512260 34109.793653821 34109.793653821 0.823908059271 34.109793653821

25751.7188454665 35771.752357119 61523.471202586 1.4860741836373 61.5234712025860 54306.113845301 54306.113845301 0.937735078141 54.3061138453010 54306.113845301 54306.113845301 0.937735078141 54.306113845301

25769.5898953934 49892.897492204 75662.487387597 1.3065079325113 75.66248738759725769.5898953934 49892.897492204 75662.487387597 1.3065079325113 75.66248738759726605.2366640059 46660.02333318 73265.259997186 1.2651136206172 73.26525999718626605.2366640059 46660.02333318 73265.259997186 1.2651136206172 73.26525999718626605.2366640059 51742.150669781 78347.387333787 1.3528696528144 78.34738733378726605.2366640059 51742.150669781 78347.387333787 1.3528696528144 78.34738733378727529.9197153607 47304.042524841 74833.962240202 1.2922013095766 74.83396224020227529.9197153607 47304.042524841 74833.962240202 1.2922013095766 74.83396224020233556.5243468674 55377.213613419 88933.737960286 1.5356702921724 88.93373796028633556.5243468674 55377.213613419 88933.737960286 1.5356702921724 88.93373796028633556.5243468674 57449.737645678 91006.261992546 1.5714577633745 91.00626199254633556.5243468674 57449.737645678 91006.261992546 1.5714577633745 91.00626199254629960.7181271079 49205.579951844 79166.298078952 1.3670102583049 79.16629807895229960.7181271079 49205.579951844 79166.298078952 1.3670102583049 79.16629807895253415.8903199752 79412.876863903 132828.76718388 1.0726703317765 132.8287671838853415.8903199752 79412.876863903 132828.76718388 1.0726703317765 132.8287671838844335.9053627198 62335.16616426 106671.07152698 0.8614315717272 106.6710715269844335.9053627198 62335.16616426 106671.07152698 0.8614315717272 106.67107152698

48184.708147891 68345.958044931 116530.66619282 0.9410535911558 116.5306661928248184.708147891 68345.958044931 116530.66619282 0.9410535911558 116.53066619282

45726.2299211326 58582.249752798 104308.47967393 0.8423522544935 104.3084796739345726.2299211326 58582.249752798 104308.47967393 0.8423522544935 104.30847967393

65430.910183997 76472.725229044 141903.63541304 1.1459552242029 141.9036354130465430.910183997 75335.415405755 140766.32558975 1.1367707792114 140.76632558975

0 64627.01963125 64627.01963125 0.5219011518311 64.627019631250 16070.087311474 16070.087311474 1.102578889295 16.070087311474

16333.6168807755 16109.092530772 32442.709411547 2.2259148824389 32.4427094115470 15710.187578958 15710.187578958 1.0778859402372 15.710187578958

16987.7843707857 17080.477780346 34068.262151131 2.3374450875562 34.0682621511310 15811.808694015 15811.808694015 1.084858229435 15.811808694015

16517.1406659528 16186.541281598 32703.681947551 2.2438203737599 32.7036819475510 14052.529101418 14052.529101418 0.964152940063 14.052529101418

16987.7843707857 14263.02449439 31250.808865176 2.1441378295146 31.2508088651760 13523.344519368 13523.344519368 0.9278452500424 13.523344519368

15626.7843313429 13469.89200692 29096.676338262 1.9963414297264 29.0966763382620 13986.476285565 13986.476285565 0.959621014447 13.986476285565

16471.2597196585 13953.214623063 30424.474342722 2.0874424934972 30.4244743427220 11672.516104074 11672.516104074 0.8008587378439 11.672516104074

16379.4978270699 11443.054367371 27822.552194441 1.908922963598 27.8225521944410 11028.910148641 11028.910148641 0.7567005247781 11.028910148641

16058.3312030097 11275.366387249 27333.697590259 1.8753823389543 27.3336975902590 11175.19920974 11175.19920974 0.7667375101022 11.17519920974

15559.625265028 10984.258201628 26543.883466656 1.8211926906796 26.543883466656

EHE-08

μ Τfd Vfu (contribucion de las fibras#VALUE! #VALUE! 0.54 #VALUE! 0

3.49 3.49 0.58 0.42 33405.58814396544.00 4.55 0.61 0.48 31840.5661649952

#VALUE! #VALUE! 0.56 #VALUE! 02.55 2.55 0.58 0.31 33621.01102769923.16 3.16 0.56 0.38 34138.5219226443.06 3.06 0.62 0.37 30551.24968026173.41 3.41 0.66 0.41 27841.15146814064.00 4.53 0.35 0.48 16961.77227755674.00 4.56 0.35 0.48 17016.9925178645

4.00 4.62 0.35 0.48 17117.7669749364

3.58 3.58 0.35 0.43 17595.22852835193.58 3.58 0.35 0.43 17604.11276447893.45 3.45 0.35 0.41 17272.3528686963.46 3.46 0.35 0.42 17308.5253750574.00 4.70 0.35 0.48 17263.29789933524.00 4.70 0.35 0.48 17263.29789933524.00 4.80 0.35 0.48 17461.42256723444.00 4.95 0.35 0.48 17728.02458985034.00 5.54 0.35 0.48 17362.64283501674.00 5.55 0.35 0.48 17380.64454315424.00 5.58 0.35 0.48 17425.56745226054.00 5.82 0.35 0.48 17798.44403128614.00 4.66 0.35 0.48 17190.68644018344.00 4.62 0.35 0.48 17126.89888648214.00 4.68 0.35 0.48 17236.10444916454.00 4.45 0.35 0.48 17362.96476489684.00 4.45 0.35 0.48 17362.96476489684.00 4.45 0.35 0.48 17362.9647648968

#VALUE! #VALUE! 0.66 #VALUE! 03.42 3.42 0.66 0.41 13212.31928419164.00 4.67 0.65 0.48 13703.1165851685

#VALUE! #VALUE! 0.66 #VALUE! 03.42 3.42 0.66 0.41 13212.3192841916

ancho de fisura wu=3.5mm

Coeficiente de Reduccion

Fr4k (tension residual)

4.00 4.67 0.65 0.48 13703.1165851685#VALUE! #VALUE! 0.54 #VALUE! 0

3.24 3.24 0.54 0.39 13976.09366945313.86 3.86 0.49 0.46 14492.3068587648


#VALUE! #VALUE! 0.54 #VALUE! 03.24 3.24 0.54 0.39 13976.09366945313.86 3.86 0.49 0.46 14492.30685876482.12 2.12 0.73 0.25 8892.745608848652.12 2.12 0.73 0.25 8892.745608848652.12 2.12 0.73 0.25 8892.74560884865

#VALUE! #VALUE! 0.80 #VALUE! 02.24 2.24 0.78 0.27 7135.209576868763.08 3.08 0.76 0.37 7810.971640633072.21 2.21 0.71 0.27 11916.38404450252.21 2.21 0.71 0.27 11916.38404450252.21 2.21 0.71 0.27 11916.3840445025

#VALUE! #VALUE! 0.71 #VALUE! 0#VALUE! #VALUE! 0.71 #VALUE! 0

3.08 3.08 0.71 0.37 11916.38404450253.08 3.08 0.71 0.37 11916.38404450253.08 3.08 0.71 0.37 11916.38404450252.21 2.21 0.71 0.27 11916.38404450252.21 2.21 0.71 0.27 11916.38404450252.21 2.21 0.71 0.27 11916.3840445025


3.08 3.08 0.71 0.37 11916.38404450253.08 3.08 0.71 0.37 11916.38404450253.08 3.08 0.71 0.37 11916.3840445025

#VALUE! #VALUE! 0.77 #VALUE! 0#VALUE! #VALUE! 0.77 #VALUE! 0#VALUE! #VALUE! 0.77 #VALUE! 0#VALUE! #VALUE! 0.77 #VALUE! 0

1.97 1.97 0.74 0.24 9853.391864804991.97 1.97 0.74 0.24 9853.391864804991.97 1.97 0.74 0.24 9853.391864804991.97 1.97 0.74 0.24 9853.391864804992.48 2.48 0.74 0.30 10033.16345764362.48 2.48 0.74 0.30 10033.16345764362.48 2.48 0.74 0.30 10033.1634576436

2.48 2.48 0.74 0.30 10033.16345764362.48 2.48 0.74 0.30 10147.46623187672.48 2.48 0.74 0.30 10033.16345764362.83 2.83 0.74 0.34 10055.52149361412.83 2.83 0.74 0.34 10055.52149361412.83 2.83 0.74 0.34 10055.52149361412.83 2.83 0.74 0.34 10055.52149361411.82 1.82 0.79 0.22 7915.681344055211.82 1.82 0.79 0.22 7826.517771898771.82 1.82 0.79 0.22 7826.517771898772.66 2.66 0.71 0.32 10924.65674997032.66 2.66 0.71 0.32 10801.5995704212.66 2.66 0.71 0.32 10801.599570421

#VALUE! #VALUE! 0.35 #VALUE! 03.51 3.51 0.35 0.42 23679.66690081274.00 4.21 0.35 0.48 23679.66690081273.38 3.38 0.64 0.41 17154.4737886914


#VALUE! #VALUE! 0.42 #VALUE! 03.95 3.95 0.41 0.47 42190.84410325683.95 3.95 0.41 0.47 42190.84410325683.63 3.63 0.42 0.44 41383.66298373723.63 3.63 0.42 0.44 41383.66298373724.00 4.41 0.49 0.48 38580.65648889584.00 4.41 0.39 0.48 43260.42563383713.95 3.95 0.41 0.47 82488.03735091164.00 4.50 0.50 0.48 75429.6981044062

#VALUE! #VALUE! 0.64 #VALUE! 01.93 1.93 0.63 0.23 21992.2423216422.73 2.73 0.64 0.33 20980.14932695063.55 3.55 0.62 0.43 22427.7498837079

#VALUE! #VALUE! 0.66 #VALUE! 01.77 1.77 0.66 0.21 0.66 20172.16109053953.15 3.15 0.66 0.38 0.66 19877.3116874708



#VALUE! #VALUE! 0.66 #VALUE! 0

1.77 1.77 0.66 0.21 20172.16109053953.20 3.20 0.67 0.38 19877.3116874708


#VALUE! #VALUE! 0.72 #VALUE! 02.48 2.48 0.68 0.30 33840.289066332.48 2.48 0.68 0.30 39434.22251472752.48 2.48 0.68 0.30 44282.69249604652.48 2.48 0.68 0.30 56403.8674493439

#VALUE! #VALUE! 0.72 #VALUE! 02.48 2.48 0.68 0.30 68525.04240264132.52 2.52 0.67 0.30 19380.96664200372.52 2.52 0.67 0.30 30312.94952080332.52 2.52 0.67 0.30 34495.38378095582.52 2.52 0.67 0.30 40197.60697323922.52 2.52 0.67 0.30 45139.93569945712.52 2.52 0.67 0.30 53047.6616614058


4.00 4.22 0.62 0.48 17683.3428614827#VALUE! #VALUE! 0.65 #VALUE! 0#VALUE! #VALUE! 0.65 #VALUE! 0

3.07 3.07 0.64 0.37 21825.43695296213.07 3.07 0.64 0.37 21825.43695296213.17 3.17 0.68 0.38 19591.19474167473.17 3.17 0.68 0.38 19591.19474167473.17 3.17 0.68 0.38 19591.19474167473.17 3.17 0.68 0.38 19591.19474167473.28 3.28 0.73 0.39 17074.66010044463.28 3.28 0.73 0.39 17074.66010044464.00 4.17 0.64 0.48 21857.90321102084.00 4.17 0.64 0.48 21857.90321102084.00 4.31 0.61 0.48 23232.05745331884.00 4.31 0.61 0.48 23232.05745331883.57 3.57 0.65 0.43 21335.50214713573.57 3.57 0.65 0.43 21335.50214713573.27 3.27 0.60 0.39 46489.56928037583.27 3.27 0.60 0.39 46489.56928037582.71 2.71 0.74 0.33 31625.55764324162.71 2.71 0.74 0.33 31625.55764324162.95 2.95 0.65 0.35 40958.48074012752.95 2.95 0.65 0.35 40958.4807401275

2.80 2.80 0.74 0.34 32283.31087721052.80 2.80 0.74 0.34 32283.31087721054.00 4.12 0.64 0.48 42303.10457900994.00 4.65 0.65 0.48 41280.6100646307










3.66 3.66 0.72 0.44 8920.57700068946

Vcu (Contribucion del ConcreVu=Vcu+Vfu vu (Mpa)79240.468439986 79240.468439986 0.934263210243185

76122.4740558506 109528.062199816 1.2913608540819773736.7390520862 105577.305217081 1.244780527460477686.3313851665 77686.3313851665 0.91593957962137476505.8311099839 110126.842137683 1.2984206062262277421.1882598965 111559.71018254 1.3153144475398671933.1568570006 102484.406537262 1.2083145460439367957.4698242159 95798.6212923564 1.1294876119170520169.0134146359 37130.7856921926 1.3816106304071720216.9209899044 37233.9135077689 1.38544794447512

20304.1665316781 37421.9335066145 1.39244403745542

40547.0358807774 58142.2644091293 2.1634330942931840561.8828377545 58165.9956022334 2.1643161154319440005.1397144174 57277.4925831133 2.1312555379763140066.0768074077 57374.6021824648 2.1348689184172939989.8764013317 57253.1743006669 2.1303506716527239989.8764013317 57253.1743006669 2.1303506716527240323.0145365458 57784.4371037802 2.1501185899081

40768.608781775 58496.6333716253 2.176618916153540157.1363860902 57519.7792211069 2.1402708547388640187.3979924077 57568.042535562 2.14206669899765

40262.853291606 57688.4207438665 2.1465458881438740885.8026964012 58684.2467276872 2.1835998782395346790.4811453362 63981.1675855196 2.3806946078332946663.9220388207 63790.8209253028 2.3736119414066246880.4630614827 64116.5675106472 2.3857327445822243757.5005523849 61120.4653172817 2.1731721001700143757.5005523849 61120.4653172817 2.1731721001700137317.1816456127 54680.1464105095 1.9441829834847830715.1153056149 30715.1153056149 0.93501112041445830622.3198298185 43834.6391140102 1.3343877964691131319.8983071248 45023.0148922933 1.3705636192478930715.1153056149 30715.1153056149 0.93501112041445830622.3198298185 43834.6391140102 1.33438779646911

31319.8983071248 45023.0148922933 1.3705636192478927280.0622967337 27280.0622967337 1.0294363130842927478.4697208505 41454.5633903036 1.5643231468039128244.8117733535 42737.1186321182 1.6127214578157827280.0622967337 27280.0622967337 1.0294363130842927478.4697208505 41454.5633903036 1.5643231468039128244.8117733535 42737.1186321182 1.6127214578157827280.0622967337 27280.0622967337 1.0294363130842927478.4697208505 41454.5633903036 1.5643231468039128244.8117733535 42737.1186321182 1.6127214578157820390.4162945248 29283.1619033734 1.1050249774857920390.4162945248 29283.1619033734 1.1050249774857920390.4162945248 29283.1619033734 1.1050249774857917162.8591821195 17162.8591821195 0.66571735705052219646.5693487094 26781.7789255782 1.038818468080321018.6643855891 28829.6360262222 1.1182512713324624695.8969765687 36612.2810210712 1.0899107234184124695.8969765687 36612.2810210712 1.0899107234184124695.8969765687 36612.2810210712 1.0899107234184124695.8969765687 24695.8969765687 0.73517197477282324695.8969765687 24695.8969765687 0.73517197477282324695.8969765687 36612.2810210712 1.0899107234184124695.8969765687 36612.2810210712 1.0899107234184124695.8969765687 36612.2810210712 1.0899107234184131198.2987560425 43114.682800545 1.2834806739862231198.2987560425 43114.682800545 1.2834806739862231198.2987560425 43114.682800545 1.2834806739862231198.2987560425 31198.2987560425 0.92874192534063331198.2987560425 31198.2987560425 0.92874192534063331198.2987560425 43114.682800545 1.2834806739862231198.2987560425 43114.682800545 1.2834806739862231198.2987560425 43114.682800545 1.2834806739862220102.6451217255 20102.6451217255 0.67134134122780720102.6451217255 20102.6451217255 0.67134134122780720102.6451217255 20102.6451217255 0.67134134122780720102.6451217255 20102.6451217255 0.67134134122780721953.7654297589 31807.1572945639 1.0622213897463221953.7654297589 31807.1572945639 1.0622213897463221953.7654297589 31807.1572945639 1.0622213897463221953.7654297589 31807.1572945639 1.0622213897463222227.7876631448 32260.9511207884 1.0773761394866622227.7876631448 32260.9511207884 1.0773761394866622227.7876631448 32260.9511207884 1.07737613948666

22227.7876631448 32260.9511207884 1.0773761394866618832.0697845138 28979.5360163905 0.95327421106547725444.4651184531 35477.6285760967 1.1847992444595522261.5685474351 32317.0900410492 1.0792509364496822261.5685474351 32317.0900410492 1.0792509364496822261.5685474351 32317.0900410492 1.0792509364496822261.5685474351 32317.0900410492 1.07925093644968

15662.948919296 23578.6302633512 0.77561283761023718487.2245451794 26313.7423170782 0.87876510543274821162.5892421485 28989.1070140472 0.96811070712153419786.1480983447 30710.804848315 1.0102238436945723353.9012776602 34155.5008480812 1.1406459006171926733.5434117221 37535.1429821431 1.2535113205364463870.6716524295 63870.6716524295 1.774185323678663998.8234238954 87678.490324708 2.4355136201307863998.8234238954 87678.490324708 2.43551362013078

45652.455790199 62806.9295788905 1.6104340917664278702.2488537121 78702.2488537121 1.6745159330577180657.6645772976 111493.087911496 2.3721933598190680092.4206063871 110629.333298752 2.3538156021011199829.4960633534 99829.4960633534 1.21743287882138101077.493968107 143268.338071363 1.74717485452882101077.493968107 143268.338071363 1.7471748545288299641.9343325613 141025.597316299 1.7198243575158499641.9343325613 141025.597316299 1.7198243575158494547.0518818147 133127.708370711 1.6235086386672102959.686802321 146220.112436158 1.78317210287998195479.066948947 277967.104299859 1.6255386216366182849.502486306 258279.200590712 1.5104046818170359057.9610134027 59057.9610134027 1.1357300194885160603.0035749554 82595.2458965974 1.588370113396158893.4533060675 79873.6026330181 1.5360308198657361321.4803580499 83749.2302417578 1.610562120033845704.5267236347 45704.5267236347 0.87893320622374445889.5673113036 66061.7284018431 1.270417853881645471.0981048579 65348.4097923286 1.25670018831401

39173.12687524 39173.12687524 0.74757875716106939132.4063397833 59027.4786308814 1.1264785998259838595.1458852904 58056.7889889283 1.1079539883383345377.0521319245 45377.0521319245 0.87263561792162545329.8826050664 65108.4247872557 1.2520850920626144707.5351542339 64055.1868454642 1.2318305162589345704.5267236347 45704.5267236347 0.878933206223744

45889.5673113036 66061.7284018431 1.270417853881645471.0981048579 65348.4097923286 1.2567001883140147848.4212430588 47848.4212430588 0.92016194698190151299.6121601183 70312.5188642434 1.3521638243123775272.8608382861 102401.565467794 1.24879957887554

84160.209309767 84160.209309767 0.77926119731265890230.4816907983 124070.770757128 1.1488034329363778237.9749752636 117672.197489991 1.2790456248912178237.9749752636 122520.66747131 1.3317463855577278237.9749752636 134641.842424608 1.4634982872239972974.5007064723 72974.5007064723 0.79320109463556878237.9749752636 146763.017377905 1.5952501888902751925.2788489713 71306.245490975 1.3712739517495279192.1906639232 109505.140184726 1.1902732628774691330.9618764357 125826.345657391 1.1650587560869679192.1906639232 119389.797637162 1.2977151917082979192.1906639232 124332.12636338 1.351436156123779192.1906639232 132239.852325329 1.4373896991883633816.5717512259 33816.5717512259 0.81682540461898434109.7936538214 34109.7936538214 0.82390805927104735771.7523571193 53455.095218602 1.2911858748454654306.1138453009 54306.1138453009 0.93773507814098854306.1138453009 54306.1138453009 0.93773507814098849892.8974922036 71718.3344451657 1.2384019623768149892.8974922036 71718.3344451657 1.2384019623768146660.0233331801 66251.2180748548 1.1439981018589446660.0233331801 66251.2180748548 1.1439981018589451742.1506697807 71333.3454114555 1.2317541340560851742.1506697807 71333.3454114555 1.23175413405608

47304.042524841 64378.7026252855 1.1116642945380247304.042524841 64378.7026252855 1.11166429453802

55377.2136134185 77235.1168244393 1.33366343459855377.2136134185 77235.1168244393 1.33366343459857449.7376456782 80681.795098997 1.393179221905657449.7376456782 80681.795098997 1.3931792219056

49205.579951844 70541.0820989797 1.2180736651985749205.579951844 70541.0820989797 1.2180736651985779412.876863903 125902.446144279 1.0167362201750779412.876863903 125902.446144279 1.01673622017507

62335.1661642599 93960.7238075015 0.75878804657596362335.1661642599 93960.7238075015 0.75878804657596368345.9580449308 109304.438785058 0.88269755943679568345.9580449308 109304.438785058 0.882697559436795

58582.2497527978 90865.5606300083 0.73379278551246358582.2497527978 90865.5606300083 0.73379278551246376472.7252290442 118775.829808054 0.95918460638015175335.4154057554 116616.025470386 0.94174291747061364627.0196312504 64627.0196312504 0.52190115183114316070.0873114744 16070.0873114744 1.1025788892949916109.0925307716 25588.2710936192 1.7556275192877715710.1875789578 15710.1875789578 1.0778859402372417080.4777803458 27478.5519515164 1.8853208886117615811.8086940148 15811.8086940148 1.0848582294349816186.5412815984 25736.5926186857 1.7658039532545914052.5291014179 14052.5291014179 0.964152940062979

14263.02449439 24128.8153708602 1.6554933359080813523.3445193679 13523.3445193679 0.92784525004239213469.8920069196 22499.9256462468 1.54373417813014

13986.476285565 13986.476285565 0.95962101444699913953.2146230632 23485.5724821422 1.6113600330800811672.5161040742 11672.5161040742 0.80085873784385811443.0543673712 20939.975900774 1.4367050360736911028.9101486414 11028.9101486414 0.75670052477813911275.3663872488 20558.2613357751 1.4105153575145911175.1992097402 11175.1992097402 0.76673751010224310984.2582016279 19904.8352023173 1.36568337580222

ancho de fisura wu=2.5mm

vu (KN) Fr3,d (tension residual) Τfd79.240468439986 1.4825780249282 0.37064450623205

109.528062199816 1.40779871998805 0.351949679997013105.577305217081 1.34184460688421 0.33546115172105377.6863313851665 1.44503831091082 0.361259577727705110.126842137683 1.41687720286551 0.354219300716378

111.55971018254 1.43868646341029 0.359671615852572102.484406537262 1.28750944328688 0.3218773608217295.7986212923564 1.17329882745747 0.29332470686436737.1307856921926 1.83584430712411 0.45896107678102737.2339135077689 1.84182102713592 0.460455256783979

37.4219335066145 1.85272827257534 0.463182068143835

58.1422644091293 1.90440595462207 0.47610148865551858.1659956022334 1.90536753304973 0.47634188326243257.2774925831133 1.86945975725609 0.46736493931402357.3746021824648 1.87337486051244 0.4683437151281157.2531743006669 1.86847969964889 0.46711992491222257.2531743006669 1.86847969964889 0.46711992491222257.7844371037802 1.88992356988318 0.47248089247079658.4966333716253 1.91877903365656 0.4796947584141457.5197792211069 1.87923222194597 0.469808055486493

57.568042535562 1.8811806229068 0.47029515572669957.6884207438665 1.88604281923821 0.47151070480955158.6842467276872 1.92640082744999 0.48160020686249763.9811675855196 1.8606206545129 0.46515516362822463.7908209253028 1.85371665796043 0.46342916449010864.1165675106472 1.86553643759644 0.46638410939910961.1204653172817 1.81577983246868 0.45394495811717161.1204653172817 1.81577983246868 0.45394495811717154.6801464105095 1.81577983246868 0.45394495811717130.7151153056149 1.18095497110886 0.29523874277721543.8346391140101 1.17521520010465 0.29380380002616345.0230148922933 1.21887085479115 0.30471771369778730.7151153056149 1.18095497110886 0.29523874277721543.8346391140101 1.17521520010465 0.293803800026163

45.0230148922933 1.21887085479115 0.30471771369778727.2800622967337 1.51435989645791 0.37858997411447741.4545633903036 1.52880562793313 0.38220140698328242.7371186321182 1.58527273867937 0.39631818466984327.2800622967337 1.51435989645791 0.37858997411447741.4545633903036 1.52880562793313 0.38220140698328242.7371186321182 1.58527273867937 0.39631818466984327.2800622967337 1.51435989645791 0.37858997411447741.4545633903036 1.52880562793313 0.38220140698328242.7371186321182 1.58527273867937 0.39631818466984329.2831619033734 0.972752462606913 0.24318811565172829.2831619033734 0.972752462606913 0.24318811565172829.2831619033734 0.972752462606913 0.24318811565172817.1628591821195 0.674914143746691 0.16872853593667326.7817789255782 0.793692785587635 0.19842319639690928.8296360262222 0.868861912577583 0.21721547814439636.6122810210712 1.03883332103424 0.25970833025855936.6122810210712 1.03883332103424 0.25970833025855936.6122810210712 1.03883332103424 0.25970833025855924.6958969765687 1.03883332103424 0.25970833025855924.6958969765687 1.03883332103424 0.25970833025855936.6122810210712 1.03883332103424 0.25970833025855936.6122810210712 1.03883332103424 0.25970833025855936.6122810210712 1.03883332103424 0.259708330258559

43.114682800545 1.03883332103424 0.25970833025855943.114682800545 1.03883332103424 0.25970833025855943.114682800545 1.03883332103424 0.259708330258559

31.1982987560425 1.03883332103424 0.25970833025855931.1982987560425 1.03883332103424 0.259708330258559

43.114682800545 1.03883332103424 0.25970833025855943.114682800545 1.03883332103424 0.25970833025855943.114682800545 1.03883332103424 0.259708330258559

20.1026451217255 0.828283045953831 0.20707076148845820.1026451217255 0.828283045953831 0.20707076148845820.1026451217255 0.828283045953831 0.20707076148845820.1026451217255 0.828283045953831 0.20707076148845831.8071572945639 0.936620920290567 0.23415523007264231.8071572945639 0.936620920290567 0.23415523007264231.8071572945639 0.936620920290567 0.23415523007264231.8071572945639 0.936620920290567 0.23415523007264232.2609511207884 0.953709232319242 0.2384273080798132.2609511207884 0.953709232319242 0.2384273080798132.2609511207884 0.953709232319242 0.23842730807981

32.2609511207884 0.953709232319242 0.2384273080798128.9795360163905 0.953709232319242 0.2384273080798135.4776285760967 0.953709232319242 0.2384273080798132.3170900410492 0.955834490759573 0.23895862268989332.3170900410492 0.955834490759573 0.23895862268989332.3170900410492 0.955834490759573 0.23895862268989332.3170900410492 0.955834490759573 0.23895862268989323.5786302633512 0.743955013539023 0.18598875338475626.3137423170782 0.743955013539023 0.18598875338475628.9891070140472 0.743955013539023 0.185988753384756

30.710804848315 1.02675345394458 0.25668836348614434.1555008480812 1.02675345394458 0.25668836348614437.5351429821431 1.02675345394458 0.25668836348614463.8706716524295 1.824836147165 0.45620903679125

87.678490324708 1.82984806582405 0.45746201645601187.678490324708 1.82984806582405 0.457462016456011

62.8069295788905 1.24878364983587 0.31219591245896878.7022488537121 1.88507138326377 0.471267845815944111.493087911496 1.95002693519859 0.487506733799647110.629333298752 1.93114917290198 0.48278729322549599.8294960633534 1.70227678008014 0.425569195020034143.268338071363 1.73108576563959 0.432771441409897143.268338071363 1.73108576563959 0.432771441409897141.025597316299 1.69796721169756 0.424491802924391141.025597316299 1.69796721169756 0.424491802924391

133.12770837071 1.58296015869004 0.39574003967251146.220112436158 1.77497058003788 0.443742645009469277.967104299859 1.73108576563959 0.432771441409897258.279200590712 1.58296015869004 0.3957400396725159.0579610134027 1.23387257750521 0.30846814437630382.5952458965974 1.28750944328688 0.3218773608217279.8736026330181 1.22825767309029 0.30706441827257283.7492302417578 1.31300571104266 0.32825142776066645.7045267236347 1.17329882745747 0.29332470686436766.0617284018431 1.18095497110886 0.29523874277721565.3484097923286 1.16369336652819 0.290923341632047

39.17312687524 1.15984007282679 0.28996001820669759.0274786308815 1.15791102433229 0.28947775608307458.0567889889283 1.1326850574655 0.28317126436637645.3770521319245 1.15984007282679 0.28996001820669765.1084247872557 1.15791102433229 0.28947775608307464.0551868454642 1.1326850574655 0.28317126436637645.7045267236347 1.17329882745747 0.293324706864367

66.0617284018431 1.18095497110886 0.29523874277721565.3484097923286 1.16369336652819 0.29092334163204747.8484212430588 0.99993526000549 0.24998381500137370.3125188642434 1.11308781377895 0.278271953444739102.401565467794 1.11308781377895 0.278271953444739

84.160209309767 0.99993526000549 0.249983815001373124.070770757128 1.11308781377895 0.278271953444739117.672197489991 1.11308781377895 0.278271953444739

122.52066747131 1.11308781377895 0.278271953444739134.641842424608 1.11308781377895 0.27827195344473972.9745007064723 0.99993526000549 0.249983815001373146.763017377905 1.11308781377895 0.278271953444739

71.306245490975 1.13463544129159 0.283658860322896109.505140184726 1.13463544129159 0.283658860322896125.826345657391 1.13463544129159 0.283658860322896119.389797637162 1.13463544129159 0.283658860322896

124.33212636338 1.13463544129159 0.283658860322896132.239852325329 1.13463544129159 0.28365886032289633.8165717512259 1.20188276152513 0.30047069038128234.1097936538214 1.21887085479115 0.304717713697787

53.455095218602 1.31843697493707 0.32960924373426754.3061138453009 1.21133530163662 0.30283382540915654.3061138453009 1.21133530163662 0.30283382540915671.7183344451657 1.24878364983587 0.31219591245896871.7183344451657 1.24878364983587 0.31219591245896866.2512180748548 1.12094725649163 0.28023681412290766.2512180748548 1.12094725649163 0.28023681412290771.3333454114555 1.12094725649163 0.28023681412290771.3333454114555 1.12094725649163 0.28023681412290764.3787026252855 0.976958967918678 0.2442397419796764.3787026252855 0.976958967918678 0.2442397419796777.2351168244393 1.25064126818836 0.31266031704709177.2351168244393 1.25064126818836 0.312660317047091

80.681795098997 1.32926610185528 0.33231652546381980.681795098997 1.32926610185528 0.332316525463819

70.5410820989797 1.22075110339384 0.3051877758484670.5410820989797 1.22075110339384 0.30518777584846125.902446144279 1.36418663239309 0.341046658098273125.902446144279 1.36418663239309 0.34104665809827393.9607238075015 0.928018126360634 0.23200453159015993.9607238075015 0.928018126360634 0.232004531590159109.304438785058 1.20188276152513 0.300470690381282109.304438785058 1.20188276152513 0.300470690381282

90.8655606300083 0.947319190730195 0.23682979768254990.8655606300083 0.947319190730195 0.236829797682549118.775829808054 1.24133930833755 0.310334827084387116.616025470386 1.21133530163662 0.30283382540915664.6270196312504 1.09926654439009 0.27481663609752316.0700873114744 1.06734307315647 0.26683576828911825.5882710936192 1.07135942177171 0.26783985544292815.7101875789578 1.03084819034179 0.25771204758544727.4785519515164 1.17521520010465 0.29380380002616315.8118086940148 1.04104966144334 0.26026241536083625.7365926186857 1.07936963214229 0.26984240803557314.0525291014179 1.0893408024257 0.27233520060642624.1288153708602 1.11505526967946 0.27876381741986513.5233445193679 1.02675345394458 0.25668836348614422.4999256462468 1.020595988805 0.255148997201251

13.986476285565 1.08136754054952 0.27034188513738123.4855724821422 1.07736987296038 0.26934246824009611.6725161040742 1.10717497928055 0.276793744820137

20.939975900774 1.07336477471959 0.26834119367989811.0289101486414 1.01441989262472 0.25360497315618120.5582613357751 1.04917497845225 0.26229374461306211.1751992097402 1.03493481026082 0.25873370256520619.9048352023173 1.00822493784289 0.252056234460722

VIGAS EN T

fctR,d kf (para vigas en T) n0.7412890124641 1 0

0.703899359994026 1 00.670922303442106 1 00.722519155455411 1 00.708438601432757 1 00.719343231705144 1 00.643754721643441 1 00.586649413728734 1 00.917922153562054 1 00.920910513567958 1 0

0.92636413628767 1 0

0.952202977311035 1 00.952683766524863 1 00.934729878628045 1 0

0.93668743025622 1 00.934239849824444 1 00.934239849824444 1 00.944961784941592 1 0

0.95938951682828 1 00.939616110972987 1 00.940590311453398 1 00.943021409619103 1 00.963200413724994 1 00.930310327256448 1 00.926858328980217 1 00.932768218798218 1 00.907889916234342 1 00.907889916234342 1 00.907889916234342 1 00.590477485554431 1 00.587607600052326 1 00.609435427395575 1 00.590477485554431 1 00.587607600052326 1 0

0.609435427395575 1 00.757179948228953 1 00.764402813966563 1 00.792636369339687 1 00.757179948228953 1 00.764402813966563 1 00.792636369339687 1 00.757179948228953 1 00.764402813966563 1 00.792636369339687 1 00.486376231303456 1 00.486376231303456 1 00.486376231303456 1 00.337457071873345 1 00.396846392793818 1 00.434430956288792 1 00.519416660517118 1 00.519416660517118 1 00.519416660517118 1 00.519416660517118 1 00.519416660517118 1 00.519416660517118 1 00.519416660517118 1 00.519416660517118 1 00.519416660517118 1 00.519416660517118 1 00.519416660517118 1 00.519416660517118 1 00.519416660517118 1 00.519416660517118 1 00.519416660517118 1 00.519416660517118 1 00.414141522976916 1 00.414141522976916 1 00.414141522976916 1 00.414141522976916 1 00.468310460145283 1 00.468310460145283 1 00.468310460145283 1 00.468310460145283 1 00.476854616159621 1 00.476854616159621 1 00.476854616159621 1 0

0.476854616159621 1 00.476854616159621 1 00.476854616159621 1 00.477917245379787 1 00.477917245379787 1 00.477917245379787 1 00.477917245379787 1 00.371977506769512 1 00.371977506769512 1 00.371977506769512 1 00.513376726972289 1 00.513376726972289 1 00.513376726972289 1 0

0.9124180735825 1 00.914924032912023 1 00.914924032912023 1 00.624391824917935 1 00.942535691631887 1 00.975013467599294 1 0

0.96557458645099 1 00.851138390040069 1 00.865542882819794 1 00.865542882819794 1 00.848983605848782 1 00.848983605848782 1 00.791480079345021 1 00.887485290018939 1 00.865542882819794 1 00.791480079345021 1 00.616936288752605 1 00.643754721643441 1 00.614128836545145 1 00.656502855521331 1 00.586649413728734 1 00.590477485554431 1 00.581846683264093 1 00.579920036413393 1 00.578955512166147 1 00.566342528732752 1 00.579920036413393 1 00.578955512166147 1 00.566342528732752 1 00.586649413728734 1 0

0.590477485554431 1 00.581846683264093 1 00.499967630002745 1 00.556543906889477 1 00.556543906889477 1 00.499967630002745 1 00.556543906889477 1 00.556543906889477 1.32608695652174 30.556543906889477 1.48913043478261 20.556543906889477 1.89673913043478 3.666666666666670.499967630002745 2.30434782608696 5.333333333333330.556543906889477 2.30434782608696 5.333333333333330.567317720645793 1 00.567317720645793 1 00.567317720645793 1 00.567317720645793 1.32608695652174 30.567317720645793 1.48913043478261 20.567317720645793 1.75 1.304347826086960.600941380762563 1 00.609435427395575 1 00.659218487468535 1 00.605667650818312 1 00.605667650818312 1 00.624391824917935 1 00.624391824917935 1 00.560473628245815 1 00.560473628245815 1 00.560473628245815 1 00.560473628245815 1 00.488479483959339 1 00.488479483959339 1 00.625320634094182 1 00.625320634094182 1 00.664633050927639 1 00.664633050927639 1 0

0.61037555169692 1 00.61037555169692 1 0

0.682093316196545 1 00.682093316196545 1 00.464009063180317 1 00.464009063180317 1 00.600941380762563 1 00.600941380762563 1 0

0.473659595365097 1 00.473659595365097 1 00.620669654168774 1 00.605667650818312 1 00.549633272195046 1 00.533671536578235 1.85626072041166 4.615384615384620.535679710885857 1.85626072041166 4.615384615384620.515424095170893 1.85626072041166 4.615384615384620.587607600052326 1.85626072041166 4.615384615384620.520524830721672 1.85626072041166 4.615384615384620.539684816071145 1.85626072041166 4.615384615384620.544670401212852 1.85626072041166 4.615384615384620.557527634839729 1.85626072041166 4.615384615384620.513376726972289 1.85626072041166 4.615384615384620.510297994402502 1.85626072041166 4.615384615384620.540683770274761 1.85626072041166 4.615384615384620.538684936480191 1.85626072041166 4.615384615384620.553587489640273 1.85626072041166 4.615384615384620.536682387359797 1.85626072041166 4.615384615384620.507209946312361 1.85626072041166 4.615384615384620.524587489226124 1.85626072041166 4.615384615384620.517467405130412 1.85626072041166 4.615384615384620.504112468921444 1.85626072041166 4.61538461538462

VIGAS EN T Codigo Aleman DBV-Merkblatt Stahlfaserbeton

n<3bw/hf C1(Con armaduC1(Sin armaduβ(Con armadur0 0.18 0.15 1 1 66033.72370 0.18 0.15 1 1 106280.89030 0.18 0.15 1 1 114218.26060 0.18 0.15 1 1 64738.609490 0.18 0.15 1 1 100363.3210 0.18 0.15 1 1 106262.97910 0.18 0.15 1 1 95703.724810 0.18 0.15 1 1 92555.238710 0.18 0.15 1 1 47250.097680 0.18 0.15 1 1 47488.55926

0 0.18 0.15 1 1 47925.25133

0 0.18 0.15 1 1 58950.756690 0.18 0.15 1 1 58988.544880 0.18 0.15 1 1 57584.210730 0.18 0.15 1 1 57736.654510 0.18 0.15 1 1 64859.445840 0.18 0.15 1 1 64859.445840 0.18 0.15 1 1 65865.035850 0.18 0.15 1 1 67229.057420 0.18 0.15 1 1 72760.601420 0.18 0.15 1 1 72867.347060 0.18 0.15 1 1 73134.045570 0.18 0.15 1 1 75365.250450 0.18 0.15 1 1 70261.898320 0.18 0.15 1 1 69924.804020 0.18 0.15 1 1 70502.332090 0.18 0.15 1 1 66394.928280 0.18 0.15 1 1 66394.928280 0.18 0.15 1 1 61027.995860 0.18 0.15 1 1 25595.929420 0.18 0.15 1 1 40083.444110 0.18 0.15 1 1 47670.42360 0.18 0.15 1 1 25595.929420 0.18 0.15 1 1 40083.44411

β(Sin armadura transversal)

VRd TOTAL (N)

0 0.18 0.15 1 1 47670.42360 0.18 0.15 1 1 22733.385250 0.18 0.15 1 1 38297.945020 0.18 0.15 1 1 42288.62490 0.18 0.15 1 1 22733.385250 0.18 0.15 1 1 38297.945020 0.18 0.15 1 1 42288.62490 0.18 0.15 1 1 22733.385250 0.18 0.15 1 1 38297.945020 0.18 0.15 1 1 42288.62490 0.18 0.15 1 1 24426.119910 0.18 0.15 1 1 24426.119910 0.18 0.15 1 1 24426.119910 0.18 0.15 1 1 14302.382650 0.18 0.15 1 1 22641.401820 0.18 0.15 1 1 26621.331340 0.18 0.15 1 1 30576.375250 0.18 0.15 1 1 30576.375250 0.18 0.15 1 1 30576.375250 0.18 0.15 1 1 20579.914150 0.18 0.15 1 1 20579.914150 0.18 0.15 1 1 33122.296990 0.18 0.15 1 1 33122.296990 0.18 0.15 1 1 33122.296990 0.18 0.15 1 1 35995.04340 0.18 0.15 1 1 35995.04340 0.18 0.15 1 1 35995.04340 0.18 0.15 1 1 25998.58230 0.18 0.15 1 1 25998.58230 0.18 0.15 1 1 38540.965140 0.18 0.15 1 1 38540.965140 0.18 0.15 1 1 38540.965140 0.18 0.15 1 1 16752.204270 0.18 0.15 1 1 16752.204270 0.18 0.15 1 1 16752.204270 0.18 0.15 1 1 16752.204270 0.18 0.15 1 1 26010.498960 0.18 0.15 1 1 26010.498960 0.18 0.15 1 1 26010.498960 0.18 0.15 1 1 26010.498960 0.18 0.15 1 1 27460.502560 0.18 0.15 1 1 27460.502560 0.18 0.15 1 1 27460.50256

0 0.18 0.15 1 1 27460.502560 0.18 0.15 1 1 24630.737660 0.18 0.15 1 1 30141.06710 0.18 0.15 1 1 28531.456880 0.18 0.15 1 1 28531.456880 0.18 0.15 1 1 28531.456880 0.18 0.15 1 1 28531.456880 0.18 0.15 1 1 19209.960150 0.18 0.15 1 1 21563.523170 0.18 0.15 1 1 23792.993750 0.18 0.15 1 1 26471.980560 0.18 0.15 1 1 29445.108210 0.18 0.15 1 1 32261.476660 0.18 0.15 1 1 53225.559710 0.18 0.15 1 1 91985.412850 0.18 0.15 1 1 98339.236190 0.18 0.15 1 1 58003.606490 0.18 0.15 1 1 65585.207380 0.18 0.15 1 1 122710.35250 0.18 0.15 1 1 121170.03580 0.18 0.15 1 1 83191.246720 0.18 0.15 1 1 157120.49830 0.18 0.15 1 1 157120.49830 0.18 0.15 1 1 149599.40530 0.18 0.15 1 1 149599.40530 0.18 0.15 1 1 146151.80990 0.18 0.15 1 1 170495.40570 0.18 0.15 1 1 315966.65450 0.18 0.15 1 1 293836.04540 0.18 0.15 1 1 49214.967510 0.18 0.15 1 1 69512.902080 0.18 0.15 1 1 69731.632210 0.18 0.15 1 1 77054.02920 0.18 0.15 1 1 38087.10560 0.66 0.66 0.66 0.66 54941.272890 0.66 0.66 0.66 0.66 59546.777640 0.18 0.15 1 1 32644.27240 0.18 0.15 1 1 48823.898620 0.18 0.15 1 1 52957.097520 0.18 0.15 1 1 37814.210110 0.18 0.15 1 1 53988.462170 0.18 0.15 1 1 58050.755250 0.18 0.15 1 1 38087.1056

0 0.18 0.15 1 1 54941.272890 0.18 0.15 1 1 59546.777640 0.18 0.15 1 1 39873.684370 0.18 0.15 1 1 60470.10940 0.18 0.15 1 1 89308.032930 0.18 0.15 1 1 70133.507760 0.18 0.15 1 1 110632.93336 0.18 0.15 1 1 94732.366814 0.18 0.15 1 1 94732.366814 0.18 0.15 1 1 94732.366814 0.18 0.15 1 1 60812.083924 0.18 0.15 1 1 94732.366810 0.18 0.15 1 1 61508.540110 0.18 0.15 1 1 96389.282890 0.18 0.15 1 1 112584.08376 0.18 0.15 1 1 96389.282894 0.18 0.15 1 1 96389.28289

2.60869565217391 0.18 0.15 1 1 96389.282890 0.18 0.15 1 1 28180.476460 0.18 0.15 1 1 28424.828040 0.18 0.15 1 1 53212.479440 0.18 0.15 1 1 45255.094870 0.18 0.15 1 1 45255.094870 0.18 0.15 1 1 67477.823920 0.18 0.15 1 1 67477.823920 0.18 0.15 1 1 63244.064360 0.18 0.15 1 1 63244.064360 0.18 0.15 1 1 67479.170470 0.18 0.15 1 1 67479.170470 0.18 0.15 1 1 63038.873180 0.18 0.15 1 1 63038.873180 0.18 0.15 1 1 80356.897840 0.18 0.15 1 1 80356.897840 0.18 0.15 1 1 84958.332270 0.18 0.15 1 1 84958.332270 0.18 0.15 1 1 69597.55740 0.18 0.15 1 1 69597.55740 0.18 0.15 1 1 125055.34890 0.18 0.15 1 1 125055.34890 0.18 0.15 1 1 90143.80990 0.18 0.15 1 1 90143.80990 0.18 0.15 1 1 105981.29080 0.18 0.15 1 1 105981.2908

0 0.18 0.15 1 1 88214.221170 0.18 0.15 1 1 88214.221170 0.18 0.15 1 1 131544.51940 0.18 0.15 1 1 142869.27670 0.18 0.15 1 1 53855.84969

3.17307692307692 0.18 0.15 1 1 13391.739433.17307692307692 0.18 0.15 1 1 20557.629383.17307692307692 0.18 0.15 1 1 13091.822983.17307692307692 0.18 0.15 1 1 22429.109883.17307692307692 0.18 0.15 1 1 13176.507253.17307692307692 0.18 0.15 1 1 20702.32043.17307692307692 0.18 0.15 1 1 11710.440923.17307692307692 0.18 0.15 1 1 19460.066553.17307692307692 0.18 0.15 1 1 11269.453773.17307692307692 0.18 0.15 1 1 17857.355613.17307692307692 0.18 0.15 1 1 11655.39693.17307692307692 0.18 0.15 1 1 18821.177253.17307692307692 0.18 0.15 1 1 9727.0967533.17307692307692 0.18 0.15 1 1 16689.301843.17307692307692 0.18 0.15 1 1 9190.7584573.17307692307692 0.18 0.15 1 1 16309.110663.17307692307692 0.18 0.15 1 1 9312.6660083.17307692307692 0.18 0.15 1 1 15665.7685

Codigo Aleman DBV-Merkblatt Stahlfaserbeton

vRd (Mpa) αc fctR,u0.778552675 66.0337237 66033.7237 0 1 #VALUE! 1.51.253075956 106.2808903 63435.39505 42845.49522 1 0.693143257 1.51.346659364 114.2182606 61447.28254 52770.97804 1 0.853715132 1.50.763282983 64.73860949 64738.60949 0 1 #VALUE! 1.51.183306463 100.363321 63754.85926 36608.4617 1 0.592242154 1.51.252864779 106.2629791 64517.65688 41745.32219 1 0.675344945 1.51.128368761 95.70372481 59944.29738 35759.42743 1 0.578506699 1.51.091247391 92.55523871 56631.22485 35924.01385 1 0.581169335 1.51.758143169 47.25009768 16807.51118 30442.5865 1 1.461244152 1.51.767016159 47.48855926 16847.43416 30641.12511 1 1.470774005 1.5

1.783265166 47.92525133 16920.13878 31005.11255 1 1.488245403 1.5

2.193516528 58.95075669 33789.19657 25161.56013 1 1.207754886 1.52.1949226 58.98854488 33801.56903 25186.97584 1 1.208974841 1.5

2.142668306 57.58421073 33337.61643 24246.5943 1 1.163836527 1.52.148340633 57.73665451 33388.39734 24348.25717 1 1.168716344 1.52.413374729 64.85944584 33324.897 31534.54884 1 1.513658344 1.52.413374729 64.85944584 33324.897 31534.54884 1 1.513658344 1.52.450792032 65.86503585 33602.51211 32262.52373 1 1.548601139 1.52.501546323 67.22905742 33973.84065 33255.21677 1 1.596250405 1.52.707371216 72.76060142 33464.28032 39296.3211 1 1.886223413 1.52.711343146 72.86734706 33489.49833 39377.84873 1 1.890136739 1.52.721266812 73.13404557 33552.37774 39581.66783 1 1.899920056 1.52.804288389 75.36525045 34071.50225 41293.74821 1 1.982099914 1.52.614396216 70.26189832 38992.06762 31269.8307 1 1.500951873 1.52.601853173 69.92480402 38886.6017 31038.20232 1 1.489833711 1.52.623342589 70.50233209 39067.05255 31435.27954 1 1.508893418 1.52.360708561 66.39492828 36464.58379 29930.34449 1 1.436656535 1.52.360708561 66.39492828 36464.58379 29930.34449 1 1.436656535 1.52.169884297 61.02799586 31097.65137 29930.34449 1 1.436656535 1.50.779175934 25.59592942 25595.92942 0 1 #VALUE! 1.51.220196168 40.08344411 25518.59986 14564.84425 1 0.58259377 1.51.451154448 47.6704236 26099.91526 21570.50835 1 0.862820334 1.50.779175934 25.59592942 25595.92942 0 1 #VALUE! 1.51.220196168 40.08344411 25518.59986 14564.84425 1 0.58259377 1.5

Efectos desfavorables de

HRF

coeficiente de seguridad HRFA

VRd TOTAL (KN)

VRd,ct (Hormigon)

VRd,cf (Fibras)

1.451154448 47.6704236 26099.91526 21570.50835 1 0.862820334 1.50.857863594 22.73338525 22733.38525 0 1 #VALUE! 1.51.445205472 38.29794502 22898.72477 15399.22025 1 0.739162572 1.51.595797166 42.2886249 23537.34314 18751.28175 1 0.900061524 1.50.857863594 22.73338525 22733.38525 0 1 #VALUE! 1.51.445205472 38.29794502 22898.72477 15399.22025 1 0.739162572 1.51.595797166 42.2886249 23537.34314 18751.28175 1 0.900061524 1.50.857863594 22.73338525 22733.38525 0 1 #VALUE! 1.51.445205472 38.29794502 22898.72477 15399.22025 1 0.739162572 1.51.595797166 42.2886249 23537.34314 18751.28175 1 0.900061524 1.50.921740374 24.42611991 16992.01358 7434.106329 1 0.356837104 1.50.921740374 24.42611991 16992.01358 7434.106329 1 0.356837104 1.50.921740374 24.42611991 16992.01358 7434.106329 1 0.356837104 1.50.554764464 14.30238265 14302.38265 0 1 #VALUE! 1.50.878220465 22.64140182 16372.14112 6269.260697 1 0.323346665 1.51.032594986 26.62133134 17515.55365 9105.777685 1 0.469644346 1.50.910227889 30.57637525 20579.91415 9996.461101 1 0.38838302 1.50.910227889 30.57637525 20579.91415 9996.461101 1 0.38838302 1.50.910227889 30.57637525 20579.91415 9996.461101 1 0.38838302 1.50.612643312 20.57991415 20579.91415 0 1 #VALUE! 1.50.612643312 20.57991415 20579.91415 0 1 #VALUE! 1.50.986017415 33.12229699 20579.91415 12542.38284 1 0.487297303 1.50.986017415 33.12229699 20579.91415 12542.38284 1 0.487297303 1.50.986017415 33.12229699 20579.91415 12542.38284 1 0.487297303 1.51.071536181 35.9950434 25998.5823 9996.461101 1 0.38838302 1.51.071536181 35.9950434 25998.5823 9996.461101 1 0.38838302 1.51.071536181 35.9950434 25998.5823 9996.461101 1 0.38838302 1.50.773951604 25.9985823 25998.5823 0 1 #VALUE! 1.50.773951604 25.9985823 25998.5823 0 1 #VALUE! 1.51.147325707 38.54096514 25998.5823 12542.38284 1 0.487297303 1.51.147325707 38.54096514 25998.5823 12542.38284 1 0.487297303 1.51.147325707 38.54096514 25998.5823 12542.38284 1 0.487297303 1.50.559451118 16.75220427 16752.20427 0 1 #VALUE! 1.50.559451118 16.75220427 16752.20427 0 1 #VALUE! 1.50.559451118 16.75220427 16752.20427 0 1 #VALUE! 1.50.559451118 16.75220427 16752.20427 0 1 #VALUE! 1.5

0.86863809 26.01049896 18294.80452 7715.694435 1 0.3324966 1.50.86863809 26.01049896 18294.80452 7715.694435 1 0.3324966 1.50.86863809 26.01049896 18294.80452 7715.694435 1 0.3324966 1.50.86863809 26.01049896 18294.80452 7715.694435 1 0.3324966 1.5

0.917061934 27.46050256 18523.15639 8937.34617 1 0.3851419 1.50.917061934 27.46050256 18523.15639 8937.34617 1 0.3851419 1.50.917061934 27.46050256 18523.15639 8937.34617 1 0.3851419 1.5

0.917061934 27.46050256 18523.15639 8937.34617 1 0.3851419 1.50.810221633 24.63073766 15693.39149 8937.34617 1 0.3851419 1.51.006581188 30.1410671 21203.72093 8937.34617 1 0.3851419 1.50.952827173 28.53145688 18551.30712 9980.14976 1 0.43008 1.50.952827173 28.53145688 18551.30712 9980.14976 1 0.43008 1.50.952827173 28.53145688 18551.30712 9980.14976 1 0.43008 1.50.952827173 28.53145688 18551.30712 9980.14976 1 0.43008 1.50.631906584 19.20996015 13052.45743 6157.502713 1 0.2653486 1.50.720128345 21.56352317 15406.02045 6157.502713 1 0.2653486 1.50.794583013 23.79299375 17635.49104 6157.502713 1 0.2653486 1.50.870788834 26.47198056 16488.45675 9983.523815 1 0.4302254 1.50.983339174 29.44510821 19461.5844 9983.523815 1 0.4302254 1.5

1.07739369 32.26147666 22277.95284 9983.523815 1 0.4302254 1.51.47848777 53.22555971 53225.55971 0 1 #VALUE! 1.5

2.555150357 91.98541285 53332.35285 38653.06 1 1.1595918 1.52.73164545 98.33923619 53332.35285 45006.88333 1 1.3502065 1.5

1.487271961 58.00360649 38043.71316 19959.89333 1 0.5987968 1.51.395429944 65.58520738 65585.20738 0 1 #VALUE! 1.52.610858563 122.7103525 67214.72048 55495.632 1 1.3873908 1.52.578085869 121.1700358 66743.68384 54426.352 1 1.3606588 1.51.014527399 83.19124672 83191.24672 0 1 #VALUE! 1.51.916103638 157.1204983 84231.24497 72889.25333 1 1.0933388 1.51.916103638 157.1204983 84231.24497 72889.25333 1 1.0933388 1.51.824382991 149.5994053 83034.94528 66564.46 1 0.9984669 1.51.824382991 149.5994053 83034.94528 66564.46 1 0.9984669 1.51.782339145 146.1518099 78789.2099 67362.6 1 1.010439 1.52.079212264 170.4954057 85799.739 84695.66667 1 1.270435 1.51.847758213 315.9666545 162899.2225 153067.432 1 1.0933388 1.51.718339447 293.8360454 152374.5854 141461.46 1 1.010439 1.50.946441683 49.21496751 49214.96751 0 1 #VALUE! 1.51.336786578 69.51290208 50502.50298 19010.3991 1 0.475259978 1.51.340992927 69.73163221 49077.87776 20653.75445 1 0.516343861 1.51.481808254 77.0540292 51101.23363 25952.79557 1 0.648819889 1.50.732444339 38.0871056 38087.1056 0 1 #VALUE! 1.5

1.05656294 54.94127289 38241.30609 16699.9668 1 0.41749917 1.51.145130339 59.54677764 37892.58175 21654.19589 1 0.541354897 1.50.622982298 32.6442724 32644.2724 0 1 #VALUE! 1.5

0.93175379 48.82389862 32610.33862 16213.56 1 0.405339 1.51.010631632 52.95709752 32162.62157 20794.47595 1 0.519861899 1.50.727196348 37.81421011 37814.21011 0 1 #VALUE! 1.51.038239657 53.98846217 37774.90217 16213.56 1 0.405339 1.51.116360678 58.05075525 37256.2793 20794.47595 1 0.519861899 1.50.732444339 38.0871056 38087.1056 0 1 #VALUE! 1.5

1.05656294 54.94127289 38241.30609 16699.9668 1 0.41749917 1.51.145130339 59.54677764 37892.58175 21654.19589 1 0.541354897 1.50.766801622 39.87368437 39873.68437 0 1 #VALUE! 1.51.162886719 60.4701094 42749.6768 17720.4326 1 0.443010815 1.51.089122353 89.30803293 62727.38403 26580.6489 1 0.443010815 1.50.649384331 70.13350776 70133.50776 0 1 #VALUE! 1.51.024379012 110.6329333 75192.06808 35440.8652 1 0.443010815 1.51.029699639 94.73236681 65198.31248 29534.05433 1 0.443010815 1.51.029699639 94.73236681 65198.31248 29534.05433 1 0.443010815 1.51.029699639 94.73236681 65198.31248 29534.05433 1 0.443010815 1.50.661000912 60.81208392 60812.08392 0 1 #VALUE! 1.51.029699639 94.73236681 65198.31248 29534.05433 1 0.443010815 1.51.182856541 61.50854011 43271.06571 18237.4744 1 0.45593686 1.51.047709597 96.38928289 65993.49222 30395.79067 1 0.45593686 1.51.042445219 112.5840837 76109.1349 36474.9488 1 0.45593686 1.51.047709597 96.38928289 65993.49222 30395.79067 1 0.45593686 1.51.047709597 96.38928289 65993.49222 30395.79067 1 0.45593686 1.51.047709597 96.38928289 65993.49222 30395.79067 1 0.45593686 1.50.680687837 28.18047646 28180.47646 0 1 #VALUE! 1.50.686590049 28.42482804 28424.82804 0 1 #VALUE! 1.5

1.28532559 53.21247944 29809.79363 23402.68581 1 0.767301174 1.50.781445898 45.25509487 45255.09487 0 1 #VALUE! 1.50.781445898 45.25509487 45255.09487 0 1 #VALUE! 1.51.165178615 67.47782392 41577.41458 25900.40935 1 0.559291345 1.51.165178615 67.47782392 41577.41458 25900.40935 1 0.559291345 1.51.092071839 63.24406436 38883.35278 24360.71158 1 0.526043236 1.51.092071839 63.24406436 38883.35278 24360.71158 1 0.526043236 1.51.165201866 67.47917047 43118.45889 24360.71158 1 0.526043236 1.51.165201866 67.47917047 43118.45889 24360.71158 1 0.526043236 1.51.088528685 63.03887318 39420.03544 23618.83774 1 0.510023273 1.51.088528685 63.03887318 39420.03544 23618.83774 1 0.510023273 1.51.387569033 80.35689784 46147.67801 34209.21983 1 0.738711127 1.51.387569033 80.35689784 46147.67801 34209.21983 1 0.738711127 1.51.467024663 84.95833227 47874.78137 37083.5509 1 0.8007792 1.51.467024663 84.95833227 47874.78137 37083.5509 1 0.8007792 1.51.201781278 69.5975574 41004.64996 28592.90744 1 0.617432932 1.51.201781278 69.5975574 41004.64996 28592.90744 1 0.617432932 1.51.009895413 125.0553489 66177.39739 58877.95156 1 0.634196436 1.51.009895413 125.0553489 66177.39739 58877.95156 1 0.634196436 1.50.727964224 90.1438099 51945.9718 38197.8381 1 0.4114432 1.50.727964224 90.1438099 51945.9718 38197.8381 1 0.4114432 1.50.855861187 105.9812908 56954.96504 49026.3258 1 0.528080891 1.50.855861187 105.9812908 56954.96504 49026.3258 1 0.528080891 1.5

0.712381662 88.21422117 48818.54146 39395.67971 1 0.4243456 1.50.712381662 88.21422117 48818.54146 39395.67971 1 0.4243456 1.51.062299276 131.5445194 63727.27102 67817.24836 1 0.730484945 1.51.153753345 142.8692767 62779.51284 80089.76388 1 0.8626768 1.50.434917627 53.85584969 53855.84969 0 1 #VALUE! 1.50.918815741 13.39173943 13391.73943 0 1 #VALUE! 1.51.410471998 20.55762938 13424.24378 7133.3856 1 0.6484896 1.50.898238284 13.09182298 13091.82298 0 1 #VALUE! 1.51.538875464 22.42910988 14233.73148 8195.3784 1 0.7450344 1.50.904048525 13.17650725 13176.50725 0 1 #VALUE! 1.51.420399341 20.7023204 13488.7844 7213.536 1 0.655776 1.50.803460783 11.71044092 11710.44092 0 1 #VALUE! 1.51.335167516 19.46006655 11885.85375 7574.2128 1 0.6885648 1.50.773204375 11.26945377 11269.45377 0 1 #VALUE! 1.51.225204501 17.85735561 11224.91001 6632.4456 1 0.6029496 1.50.799684179 11.6553969 11655.3969 0 1 #VALUE! 1.51.291332916 18.82117725 11627.67885 7193.4984 1 0.6539544 1.50.667382282 9.727096753 9727.096753 0 1 #VALUE! 1.51.145063591 16.68930184 9535.878639 7153.4232 1 0.6503112 1.50.630583771 9.190758457 9190.758457 0 1 #VALUE! 1.51.118978433 16.30911066 9396.138656 6912.972 1 0.628452 1.50.638947925 9.312666008 9312.666008 0 1 #VALUE! 1.51.074838319 15.6657685 9153.548501 6512.22 1 0.59202 1.5

0 0.5 1 1.5 2 2.5 302468

10121416

RILEM

Vprevisto

Expe

rimen

tal

0 0.5 1 1.5 2 2.5 302468

10121416

EHE-08

Vprevisto

Expe

rimen

tal

0 0.5 1 1.5 2 2.501234

Mansur (1986)

Vf %

Expe

ri-m

enta

l/Vp

revi

sto

0 0.5 1 1.5 2 2.5 30

2

4

6

8

10

12

14

16 DVB

Vprevisto

Expe

rimen

tal

0 0.5 1 1.5 2 2.501234

Mansur (1986)

Vf %

Expe

ri-m

enta

l/Vp

revi

sto

MODELO MARI ET AL. (2014)

0.362145061 0.03804867 1.797934639 152.4936244 685102.1104 1.01712 213.08592890.366214446 0.038250905 1.725472134 146.3476445 624327.3533 1.01712 215.62285680.369411974 0.038430169 1.658366 140.6559706 571934.714 1.01712 217.61625340.364157899 0.038145302 1.761647083 149.415859 654277.6984 1.01712 214.34076810.365707422 0.038224225 1.734307702 147.0970421 631571.0471 1.01712 215.30676870.364504375 0.038162607 1.755489504 148.8935977 649124.8593 1.01712 214.55676770.371877302 0.038595304 1.601476836 135.8308593 529950.0427 1.01712 219.15318290.377455189 0.039068389 1.480929169 125.6064884 446587.7138 1.01712 222.63053820.191257224 0.058151503 1.387501793 37.28911069 207445.4593 1.114148 37.05386094

0.17629486 0.05810399 1.30824464 35.15907469 196232.4941 1.027788 37.02115012

0.161339956 0.058018174 1.231548513 33.09786629 185822.2807 0.941936 36.9617925

0.42839826 0.05762673 2.804814802 75.3793978 435009.0122 1.15682 85.590533380.412551375 0.057619676 2.714692892 72.95737148 421244.2634 1.114148 85.580793150.382119838 0.057888737 2.492661585 66.99028011 379501.9175 1.027788 85.948345440.350045051 0.057858828 2.315626888 62.23247263 353287.1204 0.941936 85.90788396

0.43014049 0.057896246 2.763293136 74.26350302 420484.3874 1.15682 85.958489060.414273756 0.057896246 2.673454742 71.84909619 406813.8717 1.114148 85.95848906

0.38123458 0.057733967 2.513990921 67.56350599 386938.9771 1.027788 85.737908540.348262469 0.057522136 2.359427249 63.40960731 368694.0153 0.941936 85.445519960.429615102 0.057814347 2.77573675 74.59792515 424808.5595 1.15682 85.847528110.413676409 0.057799621 2.687671427 72.2311696 411757.2019 1.114148 85.827498430.381401624 0.057763023 2.509949483 67.45489235 385523.6828 1.027788 85.77761698

0.34796792 0.057467401 2.366760414 63.60668614 371309.0085 0.941936 85.369120230.488698658 0.057956788 3.082177014 82.83350725 467035.559 1.114148 102.27890320.451148721 0.058010454 2.86011165 76.86550059 431778.3602 1.027788 102.35738250.412946628 0.057918852 2.661868818 71.53772447 404412.8232 0.941936 102.22321640.433591123 0.056682131 2.697661478 75.87172907 417473.8045 1.069952 98.499765690.433591123 0.056682131 2.697661478 75.87172907 417473.8045 1.069952 98.49976569

0.36609928 0.056682131 2.32629685 65.4270989 360003.6566 1.069952 82.371530840.398939367 0.065903492 1.663510561 54.64632194 195560.138 1.07808 87.113760910.399250428 0.066027474 1.656974735 54.43162005 193845.0523 1.07808 87.185566180.396925432 0.065117127 1.706576389 56.06103437 207064.1239 1.07808 86.648864810.412098208 0.065903492 1.710601468 56.19325824 201096.0838 1.11364 87.11376091

0.41241953 0.066027474 1.703873306 55.97223812 199331.591 1.11364 87.18556618

Cabeza comprimida Vc (Mpa)

Cortante resistido por la fisura vw (Mpa)

Cortante Ultimo (Mpa)

Cortante Ultimo (KN)

Cortante Ultimo (N)

Factor Efecto tamano k>0.65

profundidad del eje Neutro x

0.410017845 0.065117127 1.754933844 57.64957678 212931.4816 1.11364 86.648864810.342570769 0.072068704 1.90276785 50.42334802 231391.2003 1.114656 69.221174350.341837139 0.071830297 1.916415466 50.78500984 235273.9662 1.114656 69.062615770.339045477 0.07093966 1.969509885 52.19201196 250722.9507 1.114656 68.459257810.329612373 0.072068704 1.843302167 48.84750743 224159.716 1.072492 69.221174350.328906494 0.071830297 1.856511093 49.19754396 227919.6427 1.072492 69.062615770.326220432 0.07093966 1.907900205 50.55935544 242879.9026 1.072492 68.459257810.316497852 0.072068704 1.78312003 47.2526808 216841.1055 1.02982 69.221174350.315820058 0.071830297 1.795884981 47.590952 220476.7129 1.02982 69.062615770.313240869 0.07093966 1.84554824 48.90702835 234942.3599 1.02982 68.45925781

0.37082247 0.087184154 1.350082034 35.77717389 105461.6182 1.114656 75.327176080.356795399 0.087184154 1.30873395 34.68144967 102231.7139 1.072492 75.327176080.342599327 0.087184154 1.266887696 33.57252396 98962.89501 1.02982 75.327176080.435085238 0.013058773 0.916541611 23.62935928 48326.63268 1.07808 88.483586290.424278948 0.014276591 1.054782933 27.19335879 65403.5536 1.07808 86.17131393

0.41831273 0.01500509 1.14088894 29.41325776 77442.60422 1.07808 84.894694370.341484717 0.068939138 1.292005988 43.40106514 136625.6747 1.13396 70.605363670.327716435 0.068939138 1.248663714 41.94511149 132042.362 1.08824 70.605363670.315477962 0.068939138 1.210137249 40.65093046 127968.3063 1.0476 70.605363670.341484717 0.068939138 1.292005988 43.40106514 136625.6747 1.13396 70.605363670.315477962 0.068939138 1.210137249 40.65093046 127968.3063 1.0476 70.605363670.341484717 0.068939138 1.292005988 43.40106514 136625.6747 1.13396 70.605363670.327716435 0.068939138 1.248663714 41.94511149 132042.362 1.08824 70.605363670.315477962 0.068939138 1.210137249 40.65093046 127968.3063 1.0476 70.605363670.440905156 0.068939138 1.604979517 53.91447195 169721.6665 1.13396 92.623854190.423128353 0.068939138 1.549018501 52.03462948 163803.9605 1.08824 92.62385419

0.40732675 0.068939138 1.499275375 50.3636584 158543.7773 1.0476 92.623854190.440905156 0.068939138 1.604979517 53.91447195 169721.6665 1.13396 92.62385419

0.40732675 0.068939138 1.499275375 50.3636584 158543.7773 1.0476 92.623854190.440905156 0.068939138 1.604979517 53.91447195 169721.6665 1.13396 92.623854190.423128353 0.068939138 1.549018501 52.03462948 163803.9605 1.08824 92.62385419

0.40732675 0.068939138 1.499275375 50.3636584 158543.7773 1.0476 92.623854190.366215405 0.083948197 1.129887514 33.8333517 84919.97456 1.12126 68.638964580.355928477 0.083948197 1.104067854 33.06020782 82979.42312 1.089764 68.63896458

0.34564155 0.083948197 1.078248194 32.28706393 81038.87168 1.058268 68.638964580.335354622 0.083948197 1.052428535 31.51392004 79098.32024 1.026772 68.638964580.358768395 0.079019948 1.242550667 37.20693717 105602.4113 1.12126 67.152141870.348690652 0.079019948 1.213947563 36.35044583 103171.4789 1.089764 67.15214187

0.33861291 0.079019948 1.185344459 35.49395449 100740.5464 1.058268 67.152141870.328535168 0.079019948 1.156741355 34.63746314 98309.61396 1.026772 67.152141870.357682459 0.078345172 1.260132051 37.73339415 109050.5647 1.12126 66.93533089

0.34763522 0.078345172 1.231095251 36.86391619 106537.7491 1.089764 66.935330890.337587982 0.078345172 1.20205845 35.99443824 104024.9335 1.058268 66.93533089

0.327540743 0.078345172 1.17302165 35.12496028 101512.1179 1.026772 66.935330890.283492756 0.077406905 1.043010119 31.70750761 91635.58405 1.08824 54.660393270.403014299 0.078345172 1.391142338 41.65636618 120388.0637 1.089764 78.311520590.357548932 0.078262961 1.262315269 37.79876842 109482.929 1.12126 66.908671740.347505444 0.078262961 1.233224627 36.92767822 106959.8439 1.089764 66.908671740.337461956 0.078262961 1.204133984 36.05658801 104436.7589 1.058268 66.908671740.327418469 0.078262961 1.175043341 35.18549781 101913.6739 1.026772 66.908671740.296031247 0.087638457 0.864948483 26.29443388 59278.41187 1.08824 57.278985680.362338828 0.088763245 1.016968633 30.45210874 68651.51202 1.089764 69.955804240.419228493 0.088763245 1.145221213 34.292504 77309.33416 1.089764 81.642304490.279854715 0.074829733 1.103556006 33.54810258 104380.6976 1.08824 53.900609060.343351687 0.07571879 1.303885031 39.04353335 121479.0386 1.089764 66.055390590.398272123 0.07571879 1.474763051 44.16030481 137399.2288 1.089764 77.337363950.470137663 0.073029487 3.003609241 108.1299327 597937.6053 1.08 84.950314960.469882614 0.072963139 3.010076521 108.3627548 600870.84 1.08 84.902010310.469882614 0.072963139 3.010076521 108.3627548 600870.84 1.08 84.902010310.445317797 0.079336902 1.985394574 77.43038838 293011.5243 1.08 86.937047920.455795015 0.060477753 2.949124306 138.6088424 791780.4917 1.07 108.4142190.452708768 0.059950234 3.02939049 142.381353 841355.9802 1.07 107.64396820.453593975 0.060099464 3.006117151 141.2875061 826809.8502 1.07 107.8648940.369203105 0.044638804 2.134768095 175.0509838 902985.5304 0.96 169.86419610.367902707 0.044528672 2.163497241 177.4067737 930625.2749 0.96 169.23308470.367902707 0.044528672 2.163497241 177.4067737 930625.2749 0.96 169.23308470.369399756 0.044655757 2.130462683 174.69794 898882.9518 0.96 169.95963540.369399756 0.044655757 2.130462683 174.69794 898882.9518 0.96 169.95963540.374864827 0.045158341 2.014787698 165.2125913 792499.8476 0.96 172.61195420.365967839 0.044371152 2.20708981 180.9813644 973444.2344 0.96 168.29405090.325818531 0.037979404 1.908380083 326.3329941 1711849.7 0.86 232.44260430.332013921 0.038223191 1.775971509 303.691128 1456760.473 0.86 237.10879350.441748533 #VALUE! #VALUE! #VALUE! #VALUE! 1.020168 122.02730010.438955363 #VALUE! #VALUE! #VALUE! #VALUE! 1.020168 121.21835990.442048393 #VALUE! #VALUE! #VALUE! #VALUE! 1.020168 122.1141434

0.43767087 #VALUE! #VALUE! #VALUE! #VALUE! 1.020168 120.84635320.386135608 #VALUE! #VALUE! #VALUE! #VALUE! 1.119736 95.976996940.385723936 #VALUE! #VALUE! #VALUE! #VALUE! 1.119736 95.868372980.386656338 #VALUE! #VALUE! #VALUE! #VALUE! 1.119736 96.114397190.311540254 #VALUE! #VALUE! #VALUE! #VALUE! 1.069952 80.735352810.311629138 #VALUE! #VALUE! #VALUE! #VALUE! 1.069952 80.76008609

0.31280719 #VALUE! #VALUE! #VALUE! #VALUE! 1.069952 81.087893550.369666302 #VALUE! #VALUE! #VALUE! #VALUE! 1.069952 96.169870860.369767152 #VALUE! #VALUE! #VALUE! #VALUE! 1.069952 96.197719250.371103396 #VALUE! #VALUE! #VALUE! #VALUE! 1.069952 96.566707170.341289176 #VALUE! #VALUE! #VALUE! #VALUE! 0.989688 95.97699694

0.340925317 #VALUE! #VALUE! #VALUE! #VALUE! 0.989688 95.868372980.341749428 #VALUE! #VALUE! #VALUE! #VALUE! 0.989688 96.114397190.421314842 0.078209477 1.51361206 78.70782711 238493.126 1.018136 116.3529499

0.41446003 0.07452711 1.649350383 85.76621994 289288.8916 1.018136 114.36374080.387906547 0.053552016 1.489036807 122.1010182 411845.9253 0.926188 185.81410950.336088602 0.046061933 1.157956952 125.0593508 378943.1955 0.822048 238.60822790.330588757 0.044799446 1.266181919 136.7476472 461248.9082 0.822048 234.50274380.353055681 0.049600186 1.358155574 124.9503128 421456.5772 0.89012 196.879110.353055681 0.049600186 1.358155574 124.9503128 421456.5772 0.89012 196.879110.353055681 0.049600186 1.358155574 124.9503128 421456.5772 0.89012 196.879110.358967314 0.051253462 1.243012781 114.3571758 346514.4617 0.89012 200.35074470.353055681 0.049600186 1.358155574 124.9503128 421456.5772 0.89012 196.87911

0.41324016 0.073912536 1.674971862 87.0985368 299469.9598 1.018136 114.00974460.35200403 0.049332075 1.379909601 126.9516833 436496.6036 0.89012 196.2615225

0.329610178 0.04459806 1.286636151 138.9567043 477773.3378 0.822048 233.77226170.35200403 0.049332075 1.379909601 126.9516833 436496.6036 0.89012 196.26152250.35200403 0.049332075 1.379909601 126.9516833 436496.6036 0.89012 196.26152250.35200403 0.049332075 1.379909601 126.9516833 436496.6036 0.89012 196.2615225

0.347452103 #VALUE! #VALUE! #VALUE! #VALUE! 1.0984 92.938501880.346633036 #VALUE! #VALUE! #VALUE! #VALUE! 1.0984 92.704626110.342077297 #VALUE! #VALUE! #VALUE! #VALUE! 1.0984 91.403783670.369882081 0.045176354 1.523560407 88.23243028 323875.932 0.938634 161.9528070.369882081 0.045176354 1.523560407 88.23243028 323875.932 0.938634 161.952807

0.32975318 0.044883499 1.417697454 82.10169495 310688.6493 0.938634 143.44294070.32975318 0.044883499 1.417697454 82.10169495 310688.6493 0.938634 143.44294070.33368413 0.046006215 1.289735912 74.69118612 253711.7581 0.9333 146.13578860.33368413 0.046006215 1.289735912 74.69118612 253711.7581 0.9333 146.1357886

0.372242496 0.046006215 1.420711349 82.27623564 279476.7291 0.9333 164.02287710.372242496 0.046006215 1.420711349 82.27623564 279476.7291 0.9333 164.02287710.382398518 0.047783693 1.273546572 73.75362907 218346.2707 0.938634 167.72614190.382398518 0.047783693 1.273546572 73.75362907 218346.2707 0.938634 167.72614190.368042825 0.044869671 1.56486487 90.62445436 343450.5531 0.938634 161.10443140.368042825 0.044869671 1.56486487 90.62445436 343450.5531 0.938634 161.10443140.364545499 0.044339678 1.647021836 95.38232857 384207.5639 0.938634 159.4912540.364545499 0.044339678 1.647021836 95.38232857 384207.5639 0.938634 159.4912540.330974879 0.045100134 1.391193901 80.56682117 298036.4722 0.938634 144.00646170.330974879 0.045100134 1.391193901 80.56682117 298036.4722 0.938634 144.00646170.201065016 0.034806886 0.975070597 120.742992 499139.32 0.773 166.43987420.201065016 0.034806886 0.975070597 120.742992 499139.32 0.773 166.43987420.214829468 0.036166305 0.705844324 87.40470264 245797.4193 0.773 178.78304050.214829468 0.036166305 0.705844324 87.40470264 245797.4193 0.773 178.78304050.187863282 0.034999203 0.811680544 100.5104018 366065.816 0.773 154.60132050.187863282 0.034999203 0.811680544 100.5104018 366065.816 0.773 154.6013205

0.195902142 0.036036101 0.665816815 82.44809616 236680.7992 0.773 161.81010650.195902142 0.036036101 0.665816815 82.44809616 236680.7992 0.773 161.81010650.208136834 0.034923077 0.91430249 113.2180773 425884.9993 0.773 172.7814720.209024116 0.034979354 0.895666719 110.9104098 407120.2869 0.773 173.57713610.190843335 0.035288672 0.753270757 93.27751789 310717.7417 0.773 157.273660.515493868 0.065014526 1.877580647 27.36573793 88511.0025 1.093828 135.89533390.515220587 0.064917267 1.883442896 27.45118021 89121.45625 1.093828 135.82009820.482180272 0.06593618 1.712196523 24.95526432 77954.81533 1.018136 136.5928110.473314934 0.062656121 1.908731307 27.8197588 99073.34364 1.018136 133.97069030.444513765 0.065671484 1.609479335 23.45816131 74003.36634 0.939904 136.39528420.442252895 0.064725658 1.658234102 24.16876204 79051.59936 0.939904 135.67092290.444578023 0.064491459 1.680455026 24.49263201 80850.98001 1.093828 116.37184420.442984842 0.063908771 1.712770891 24.96363573 84351.01082 1.093828 115.9332332

0.41758696 0.066044024 1.50475692 21.93183211 68238.13445 1.018136 117.48790260.417971537 0.066207952 1.497429225 21.82503095 67498.60317 1.018136 117.60164970.382448376 0.064678351 1.465176757 21.35495124 69977.42756 0.939904 116.510120.382666062 0.064773201 1.460780551 21.29087653 69509.54224 0.939904 116.5798645

0.35959525 0.064084156 1.421476477 20.71801965 69510.52416 1.093828 92.975658170.361453914 0.064869003 1.386666674 20.21066677 65737.62965 1.093828 93.48735779

0.33960868 0.066374528 1.24799225 18.18948704 55914.47724 1.018136 94.424092230.337717208 0.065464644 1.281843365 18.68286705 59398.77769 1.018136 93.864647220.310786183 0.065829468 1.181129233 17.21495856 53988.96932 0.934824 94.09132730.312135727 0.016284419 1.003398125 14.62452767 44681.25303 0.934824 94.52605801

0 0.5 1 1.5 2 2.5 302468

10121416

RILEM

Vprevisto

Expe

rimen

tal

0 0.5 1 1.5 2 2.501234

Mansur (1986)

Vf %

Expe

ri-m

enta

l/Vp

revi

sto

0 0.5 1 1.5 2 2.5 30

2

4

6

8

10

12

14

16 DVB

Vprevisto

Expe

rimen

tal

0 0.5 1 1.5 2 2.501234

Mansur (1986)

Vf %

Expe

ri-m

enta

l/Vp

revi

sto


x/d n=Es/Ec Ec (Mpa)0.381874425 0.389524187 0.136046817 5.310824373 37658.93691

0.38642089 0.759483572 0.133535478 5.478329317 36507.480370.389993286 0.936993742 0.131607081 5.612768773 35633.03747

0.38412324 0.326565736 0.134796505 5.39317929 37083.877480.385854424 0.558975752 0.133844848 5.457241176 36648.554380.384510336 0.626196203 0.134582899 5.407453338 36985.98721

0.39274764 0.743295519 0.130146433 5.718148925 34976.353820.398979459 0.784710577 0.126922901 5.96223742 33544.454190.172343539 0.301986393 0.1305322 4.671657193 42811.360460.172191396 0.159461748 0.130685026 4.662555548 42894.93132

0.171915314 0.099744794 0.130963109 4.64606667 43047.16531

0.398095504 1.575136852 0.132266598 4.570005855 43763.620080.398050201 0.834799571 0.132290637 4.568621913 43776.87710.399759746 0.400703999 0.131387654 4.621072715 43279.994130.399571553 0.343497724 0.131486644 4.615275836 43334.354680.399806926 2.250064585 0.131362853 4.622526873 43266.379080.399806926 1.070281898 0.131362853 4.622526873 43266.37908

0.39878097 0.553514447 0.13190361 4.590985595 43563.630480.397421023 0.337089362 0.132625105 4.549435334 43961.499680.399290828 2.44967064 0.131634496 4.606639261 43415.598370.399197667 1.264790829 0.131683613 4.603775919 43442.60093

0.39896566 0.614143003 0.13180604 4.596651155 43509.936530.397065675 0.339181748 0.132814518 4.538626883 44066.191190.475715829 1.19363396 0.131163675 4.634232006 43157.096960.476080849 0.690720448 0.130988256 4.644580167 43060.94261

0.47545682 0.518295961 0.131288322 4.626901278 43225.473810.437776736 0.997753124 0.130016808 4.702562345 42530.004990.437776736 0.99048352 0.130016808 4.702562345 42530.004990.366095693 0.636090334 0.130016808 4.702562345 42530.00499

0.39777973 0.343704891 0.112958092 6.895982318 33642.777680.398107608 0.822742932 0.112809596 6.911118056 33569.09810.395656917 0.850131083 0.11392602 6.798610803 34124.6185

0.39777973 0.421946655 0.112958092 6.895982318 33642.777680.398107608 0.982798725 0.112809596 6.911118056 33569.0981

Cortante adimensinal de calculo vd

Energia de Fractura Gf

0.395656917 0.953013189 0.11392602 6.798610803 34124.61850.326514973 0.658099836 0.151393798 5.243665925 38141.255160.325767056 1.098700822 0.15191212 5.213880958 38359.141990.322921027 1.132423435 0.153908655 5.101643183 39203.055330.326514973 0.551322048 0.151393798 5.243665925 38141.255160.325767056 0.666991265 0.15191212 5.213880958 38359.141990.322921027 0.707764647 0.153908655 5.101643183 39203.055330.326514973 0.431469429 0.151393798 5.243665925 38141.255160.325767056 0.520210016 0.15191212 5.213880958 38359.141990.322921027 0.570375039 0.153908655 5.101643183 39203.055330.355316868 1.370543947 0.133248961 6.486973143 30831.02020.355316868 0.865071056 0.133248961 6.486973143 30831.02020.355316868 0.678487103 0.133248961 6.486973143 30831.02020.435879735 0.796990262 0 7.646827867 26154.636080.424489231 1.268122904 0 7.108853391 28133.932290.418200465 1.158411924 0 6.825198874 29303.175440.319481284 1.006995038 0.109114315 6.297925375 31756.489340.319481284 0.546382166 0.109114315 6.297925375 31756.489340.319481284 0.425669827 0.109114315 6.297925375 31756.489340.319481284 0.613091616 0.109114315 6.297925375 31756.489340.319481284 0.371666938 0.109114315 6.297925375 31756.489340.319481284 1.003818398 0.109114315 6.297925375 31756.489340.319481284 0.568618649 0.109114315 6.297925375 31756.489340.319481284 0.438376389 0.109114315 6.297925375 31756.489340.419112462 1.2706562 0.109114315 6.297925375 31756.489340.419112462 0.600385054 0.109114315 6.297925375 31756.489340.419112462 0.466966153 0.109114315 6.297925375 31756.489340.419112462 0.752863798 0.109114315 6.297925375 31756.489340.419112462 0.327193971 0.109114315 6.297925375 31756.489340.419112462 1.391368539 0.109114315 6.297925375 31756.489340.419112462 0.778276922 0.109114315 6.297925375 31756.489340.419112462 0.6353281 0.109114315 6.297925375 31756.48934

0.34842114 0.796829059 0.102641411 6.973691079 28679.217040.34842114 0.597621794 0.102641411 6.973691079 28679.217040.34842114 0.509970598 0.102641411 6.973691079 28679.217040.34842114 0.446224273 0.102641411 6.973691079 28679.21704

0.340873817 0.880825937 0.10610518 6.598411834 30310.323910.340873817 0.616578156 0.10610518 6.598411834 30310.323910.340873817 0.528495562 0.10610518 6.598411834 30310.323910.340873817 0.443936272 0.10610518 6.598411834 30310.323910.339773253 0.979229275 0.106624415 6.544944352 30557.937430.339773253 0.692034823 0.106624415 6.544944352 30557.937430.339773253 0.54670751 0.106624415 6.544944352 30557.93743

0.339773253 0.47058368 0.106624415 6.544944352 30557.937430.273301966 0.425601416 0.106624415 6.544944352 30557.937430.397520409 0.747397609 0.106624415 6.544944352 30557.937430.339637928 1.066816494 0.106688516 6.538391757 30588.561750.339637928 0.745735801 0.106688516 6.538391757 30588.561750.339637928 0.580016734 0.106688516 6.538391757 30588.561750.339637928 0.504062162 0.106688516 6.538391757 30588.561750.286394928 0.510111489 0.099708446 7.318922505 27326.426790.355105605 0.665362812 0.099708446 7.318922505 27326.426790.414427942 0.887150416 0.099708446 7.318922505 27326.426790.269503045 0.491744146 0.108770272 6.33116125 31589.781420.335306551 0.803503506 0.108770272 6.33116125 31589.781420.392575452 0.919208011 0.108770272 6.33116125 31589.781420.471946194 1.059711582 0.153121288 4.688545661 42657.150950.471677835 1.260596463 0.153272552 4.680836333 42727.407190.471677835 1.311092459 0.153272552 4.680836333 42727.407190.445831015 1.281647145 0.134810623 5.797275114 34498.966510.461337102 1.043355715 0.154921961 4.598072287 43496.488860.458059439 1.116907649 0.156822942 4.505553062 44389.666980.458999549 1.478135423 0.1562747 4.531927791 44131.329810.414302917 0.418733315 0.149336456 4.888260815 40914.347160.412763621 0.854030476 0.150241416 4.839286381 41328.407590.412763621 0.760620892 0.150241416 4.839286381 41328.407590.414535696 0.623863637 0.149200242 4.895701105 40852.167180.414535696 0.738530162 0.149200242 4.895701105 40852.167180.421004766 0.860981872 0.145480295 5.106113737 39168.73190.410473295 0.661870125 0.151601604 4.767138607 41953.888170.407794043 0.634803903 0.150241416 4.839286381 41328.40759

0.41598034 0.621241157 0.145480295 5.106113737 39168.73190.46933577 0.465364099 #VALUE! 5.828697435 34312.98368

0.466224461 0.540811567 #VALUE! 5.718148925 34976.353820.469669782 0.620635243 #VALUE! 5.840672886 34242.62990.464793666 0.748968563 #VALUE! 5.667913003 35286.356710.369142296 1.133470834 #VALUE! 5.96223742 33544.454190.368724511 1.503359606 #VALUE! 5.944812343 33642.777680.369670758 1.633419984 #VALUE! 5.984333676 33420.596320.308150202 0.426782978 #VALUE! 5.993272204 33370.751930.308244603 0.447443706 #VALUE! 5.997763231 33345.764460.309495777 0.60016683 #VALUE! 6.057508404 33016.875370.369884119 0.654400566 #VALUE! 5.993272204 33370.751930.369991228 0.589941702 #VALUE! 5.997763231 33345.764460.371410412 0.807020446 #VALUE! 6.057508404 33016.875370.369142296 0.405011911 #VALUE! 5.96223742 33544.45419

0.368724511 0.441507096 #VALUE! 5.944812343 33642.777680.369670758 0.638054681 #VALUE! 5.984333676 33420.596320.447511346 0.37952457 0.146240731 6.40701595 31215.779950.439860542 0.631486565 0.150535485 6.105270489 32758.581350.453205145 0.524756441 0.150535485 6.105270489 32758.581350.441867089 0.330021366 0.146240731 6.40701595 31215.77995

0.43426434 0.420991043 0.150535485 6.105270489 32758.581350.427998065 0.545509521 0.150535485 6.105270489 32758.581350.427998065 0.847911538 0.150535485 6.105270489 32758.581350.427998065 0.83308791 0.150535485 6.105270489 32758.581350.435545097 0.544535253 0.146240731 6.40701595 31215.779950.427998065 0.785652299 0.150535485 6.105270489 32758.581350.438499018 0.73583106 0.151316802 6.052820532 33042.446730.426655484 0.468256129 0.151316802 6.052820532 33042.446730.432911596 0.596226749 0.151316802 6.052820532 33042.446730.426655484 0.494431938 0.151316802 6.052820532 33042.446730.426655484 0.517699323 0.151316802 6.052820532 33042.446730.426655484 0.796907947 0.151316802 6.052820532 33042.446730.336733702 0.420090891 #VALUE! 5.898005927 33909.765860.335886326 0.74183413 #VALUE! 5.860871382 34124.61850.331173129 0.735871353 #VALUE! 5.657394111 35351.965250.425072984 0.299669298 0.113735418 5.877250264 34029.519080.425072984 0.299669298 0.113735418 5.877250264 34029.519080.376490658 0.766345716 0.114674246 5.797275114 34498.966510.376490658 0.739920001 0.114674246 5.797275114 34498.96651

0.3835585 0.883181608 0.111378751 6.085970209 32862.46780.3835585 0.912620994 0.111378751 6.085970209 32862.4678

0.430506239 1.030378542 0.111378751 6.085970209 32862.46780.430506239 0.76542406 0.111378751 6.085970209 32862.46780.440226094 0.878235451 0.107320072 6.474389256 30890.944630.440226094 1.148461744 0.107320072 6.474389256 30890.944630.422846277 0.870753291 0.114720278 5.793398633 34522.050470.422846277 0.870753291 0.114720278 5.793398633 34522.050470.418612215 0.74477187 0.116624439 5.636607368 35482.336610.418612215 0.943377702 0.116624439 5.636607368 35482.336610.377969716 0.892073738 0.113973444 5.856807445 34148.296980.377969716 0.892073738 0.113973444 5.856807445 34148.296980.272852253 0.701516917 0.117298192 5.582750269 35824.636670.272852253 0.65313644 0.117298192 5.582750269 35824.636670.293086952 0.995670207 0.10584116 6.625867484 30184.726830.293086952 0.995670207 0.10584116 6.625867484 30184.726830.253444788 0.741336866 0.113495101 5.898005927 33909.765860.253444788 0.768793787 0.113495101 5.898005927 33909.76586

0.26526247 0.731538015 0.106431053 6.564774332 30465.632160.26526247 0.627032584 0.106431053 6.564774332 30465.63216

0.283248315 0.930446649 0.114489269 5.812894271 34406.268320.284552682 0.926250559 0.113735418 5.877250264 34029.519080.257825672 0.390260217 0.110792959 6.139695004 32574.908020.512812581 1.041933028 0.123720523 6.221660889 32145.757150.512528673 1.68794894 0.12384605 6.211154259 32200.13409

0.51544457 0.416162151 0.122563803 6.319831971 31646.4110.505549775 1.131622532 0.12697884 5.957860393 33569.09810.514699186 0.377215434 0.122890114 6.291888259 31786.959930.511965747 0.886628613 0.124095379 6.190369386 32308.249720.439139035 0.754309394 0.124403865 6.164806584 32442.218140.437483899 1.453111827 0.125190013 6.100420543 32784.625020.443350576 0.392109711 0.122432163 6.33116125 31589.78142

0.44377981 1.005588902 0.122233486 6.348321558 31504.390280.43966083 0.323479286 0.124157356 6.185220039 32335.14713

0.439924017 0.894400358 0.12403326 6.195537361 32281.299960.35085154 0.640820117 0.124950514 6.119921256 32680.15905

0.352782482 1.423467619 0.123908597 6.205929677 32227.24240.356317329 0.33181526 0.122033327 6.365685258 31418.455660.354206216 0.890127976 0.12314835 6.269914034 31898.363980.355061612 0.328426483 0.122694802 6.308590023 31702.805110.356702106 0.657888905 0 6.383256653 31331.96907

4605.75

Vexperimental/Vprevisto (Mpa)

MC2010 RILEM EHE-08 DVB

1.87 1.87 1.87 2.25 0.9733390532.02 2.37 2.51 2.59 1.8777469292.18 2.71 3.06 2.83 2.2974421811.56 1.56 1.56 1.87 0.8117403391.59 1.93 1.85 2.03 1.383837481.72 2.04 2.08 2.18 1.5551218021.92 2.30 2.40 2.57 1.8108285641.82 2.22 2.47 2.56 1.8839523581.18 1.19 1.22 0.96 1.2108092460.62 0.63 0.64 0.50 0.680300896

0.39 0.40 0.40 0.31 0.454712091

3.41 4.33 4.20 4.14 3.2408556861.81 2.29 2.23 2.20 1.7755231220.86 1.10 1.07 1.06 0.9106731590.74 0.95 0.91 0.91 0.8421045764.52 5.93 5.98 5.28 4.6104410112.15 2.82 2.84 2.51 2.2667299751.11 1.47 1.47 1.29 1.2609432970.68 0.90 0.90 0.78 0.8307100814.64 6.48 6.52 5.15 5.0256927292.40 3.35 3.37 2.66 2.6826195821.17 1.63 1.64 1.29 1.398434520.65 0.91 0.91 0.71 0.836586582.04 2.80 2.83 2.57 2.1835215721.18 1.62 1.63 1.49 1.3565903980.89 1.22 1.23 1.12 1.1007304271.86 2.49 2.53 2.33 2.0350959691.84 2.47 2.51 2.31 2.0202683121.39 1.77 1.80 1.61 1.5045371361.32 1.32 1.32 1.58 0.7394001751.64 1.96 2.20 2.40 1.7682828461.51 1.95 2.29 2.16 1.8399410781.61 1.61 1.61 1.94 0.8827304481.96 2.34 2.62 2.87 2.054143337


1.69 2.19 2.57 2.43 2.0057736152.93 2.93 2.93 3.52 1.5871615662.86 3.23 3.25 3.52 2.6560002732.85 3.19 3.37 3.41 2.7621085032.46 2.46 2.46 2.95 1.3725367691.74 1.96 1.98 2.14 1.6644123551.78 1.99 2.11 2.13 1.7820638581.92 1.92 1.92 2.31 1.1104131891.36 1.53 1.54 1.67 1.3419567651.44 1.61 1.70 1.72 1.4846536882.93 3.61 3.66 4.38 2.9924107571.85 2.28 2.31 2.77 1.9484479641.45 1.79 1.81 2.17 1.5786718952.45 2.45 2.45 2.94 1.7784244381.89 2.68 2.94 3.47 2.8915902081.62 2.29 2.73 2.95 2.673353992.45 2.89 2.91 3.48 2.4535490011.33 1.57 1.58 1.89 1.3774725581.03 1.22 1.23 1.47 1.1073124162.63 2.63 2.63 3.15 1.4938011271.59 1.59 1.59 1.91 0.9668324822.18 2.55 2.90 3.20 2.4458090981.24 1.44 1.64 1.82 1.4335324870.95 1.11 1.27 1.40 1.1403665172.44 3.10 3.12 3.73 2.4922436431.15 1.46 1.47 1.76 1.2201274540.90 1.14 1.15 1.37 0.980473652.55 2.55 2.55 3.06 1.4766543591.11 1.11 1.11 1.33 0.6869985442.40 3.06 3.41 3.82 2.7290067891.34 1.71 1.91 2.14 1.58164671.09 1.40 1.56 1.74 1.3339777562.98 2.98 2.98 3.57 1.7700877092.23 2.23 2.23 2.68 1.3586121491.91 1.91 1.91 2.29 1.1871107291.67 1.67 1.67 2.00 1.0642052771.90 2.35 2.35 2.88 2.0119903891.33 1.64 1.65 2.01 1.4415779171.14 1.41 1.41 1.73 1.2654549390.96 1.18 1.19 1.45 1.0892668392.00 2.44 2.63 3.09 2.245796381.41 1.72 1.86 2.18 1.6245696661.12 1.36 1.47 1.72 1.314411957

0.96 1.17 1.26 1.48 1.1593988911.04 1.19 1.29 1.52 1.1792790671.33 1.70 1.82 2.15 1.5526808012.07 2.53 2.86 3.24 2.447882931.45 1.77 2.00 2.27 1.751505731.12 1.38 1.56 1.76 1.3951935770.98 1.20 1.35 1.53 1.242507361.09 1.40 1.48 1.82 1.3295589541.19 1.62 1.71 2.08 1.4749717461.39 1.97 2.07 2.52 1.7463874911.25 1.39 1.51 1.76 1.3864271431.71 2.04 2.19 2.54 1.917346961.71 2.13 2.28 2.65 1.9392945853.30 3.30 3.30 3.96 1.950986142.21 2.93 2.87 2.74 2.3222001012.20 2.95 2.98 2.66 2.4152209922.25 2.79 3.01 3.26 2.4428393553.56 3.56 3.56 4.27 2.0209388892.12 2.79 2.78 2.53 2.1786560772.80 3.68 3.67 3.36 2.8774660351.77 1.77 1.77 2.13 1.0118195062.02 2.49 2.56 2.34 2.0707213841.80 2.22 2.28 2.08 1.8442362321.49 1.85 1.87 1.76 1.5067149621.76 2.19 2.21 2.08 1.783650111.93 2.40 2.54 2.32 2.0498437641.53 1.95 2.00 1.71 1.6129837511.62 1.99 2.05 1.80 1.744935421.50 1.86 1.97 1.73 1.6779548461.53 1.53 1.53 1.841.11 1.44 1.33 1.581.16 1.48 1.50 1.721.38 1.71 1.85 2.014.59 4.59 4.59 5.503.72 8.15 4.23 5.093.52 8.73 4.58 5.032.01 2.01 2.01 2.411.28 1.54 1.39 1.681.49 1.69 1.86 2.042.64 2.64 2.64 3.161.45 1.80 1.65 1.991.72 2.06 2.25 2.481.64 1.64 1.64 1.97

1.09 1.36 1.24 1.501.38 1.63 1.79 1.961.25 1.25 1.25 1.50 0.7597719591.22 1.55 1.58 1.83 1.2914175311.09 1.39 1.42 1.63 1.1886878771.28 1.28 1.28 1.54 0.8635899620.96 1.21 1.24 1.39 1.1214818181.22 1.41 1.44 1.79 1.3547785211.90 2.09 2.15 2.78 2.105797051.87 1.87 1.92 2.73 2.0689824162.08 2.08 2.08 2.50 1.3274199791.76 1.61 1.66 2.57 1.9511755881.43 1.81 1.84 2.14 1.5104731361.06 1.33 1.35 1.54 1.1667430961.37 1.73 1.76 1.97 1.5933020371.12 1.28 1.31 1.62 1.231964761.17 1.29 1.32 1.70 1.2899395721.80 1.86 1.91 2.62 1.9856373181.87 1.87 1.87 2.253.33 3.33 3.33 3.991.74 1.98 2.28 2.291.17 1.17 1.17 1.41 0.7219930341.17 1.17 1.17 1.41 0.7219930341.88 2.22 2.34 2.49 2.0455704371.81 2.14 2.26 2.40 1.9750335251.95 2.37 2.62 2.75 2.3260575852.02 2.45 2.71 2.84 2.4035928382.06 2.59 2.84 3.00 2.4635546151.53 1.92 2.11 2.23 1.8300691421.49 2.01 2.34 2.39 2.041542931.95 2.63 3.06 3.12 2.6697099861.72 2.15 2.47 2.38 2.1088082831.72 2.15 2.47 2.38 2.1088082831.53 1.91 2.15 2.04 1.8214694761.94 2.42 2.73 2.59 2.3071946692.04 2.41 2.71 2.75 2.3720633042.04 2.41 2.71 2.75 2.3720633042.55 2.70 2.85 2.87 2.9741436262.37 2.52 2.66 2.67 2.7690302732.75 3.25 3.69 3.85 3.966880382.75 3.25 3.69 3.85 3.966880382.72 2.87 3.06 3.15 3.3264318322.82 2.98 3.17 3.27 3.449633011

2.20 2.49 2.86 2.95 3.1540206761.89 2.14 2.45 2.53 2.7034462942.82 3.05 3.65 3.29 3.8280547632.55 2.99 3.61 2.95 3.796054862.49 2.49 2.49 2.99 1.7258070723.06 3.06 3.06 3.67 1.7948629822.28 2.46 3.12 3.89 2.9095652491.21 1.21 1.21 1.45 0.7592586381.62 1.72 2.14 2.62 2.1113500811.10 1.10 1.10 1.32 0.7393695431.21 1.29 1.64 2.04 1.7488483662.58 2.58 2.58 3.10 1.4817415292.34 2.29 2.97 3.68 2.8666998181.31 1.31 1.31 1.58 0.8107621791.53 1.56 2.01 2.54 2.0768928161.10 1.10 1.10 1.33 0.72346221.41 1.40 1.81 2.26 1.9989313242.68 2.68 2.68 3.22 1.5125118392.72 2.43 3.22 4.04 3.3389422911.35 1.35 1.35 1.62 0.8173127681.68 1.51 2.01 2.53 2.2077580431.34 1.34 1.34 1.61 0.8720468271.21 1.10 1.47 1.87 2.003192901

1.8834x - 0.1366

0 50 100 150 200 250 300 3500

100

200

300

400

500

600R² = 0.733606801783699

MC2010

Vprevisto (KN)

Vexp

erim

enta

l (KN

)

MC2010 & CNR (2006)

EC-2 + R

ILEM (2

003)

EHE-0

8

DVB (2001)

0

20

40

60

80

100

120

140

vigas < 0.50.5 - 0.670.67 - 0.850.85 - 1.301.30 - 2.0x >= 2

0 50 100 150 200 250 300 3500

100

200

300

400

500

600R² = 0.684628180828939

EC-2 +RILEM (2003)

Vprevisto (KN)

Vexp

erim

enta

l (KN

)

0 50 100 150 200 250 300 3500

100

200

300

400

500

600R² = 0.684628180828939

EC-2 +RILEM (2003)

Vprevisto (KN)

Vexp

erim

enta

l (KN

)

0 50 100 150 200 250 300 3500

100

200

300

400

500

600R² = 0.716887655304048

EHE-08

Vprevisto (KN)

Vexp

erim

enta

l (KN

)

0 50 100 150 200 250 300 3500

100

200

300

400

500

600R² = 0.742571180495612

DVB

Vprevisto (KN)

Vexp

erim

enta

l (KN

)

0 50 100 150 200 250 300 3500

100

200

300

400

500

600R² = 0.742571180495612

DVB

Vprevisto (KN)

Vexp

erim

enta

l (KN

)

Vexperimental/Vprevisto (KN)

MC2010 RILEM EHE-08 DVB

158.87 158.87 158.87 190.65 0171.46 201.11 212.80 219.30 0185.03 229.75 259.60 239.96 0132.42 132.42 132.42 158.90 0134.94 163.54 156.77 172.03 0146.16 173.21 176.04 184.81 0163.21 195.41 203.56 217.98 0154.25 187.87 209.51 216.85 031.73 32.01 32.68 25.68 016.77 16.94 17.26 13.54 0

10.51 10.63 10.81 8.44 0

91.63 116.36 112.92 111.37 048.57 61.67 59.85 59.02 023.23 29.65 28.62 28.47 019.92 25.41 24.55 24.39 0

121.37 159.39 160.72 141.87 057.73 75.82 76.45 67.48 029.95 39.43 39.62 34.76 018.31 24.20 24.20 21.06 0

124.78 174.03 175.17 138.48 064.45 89.90 90.46 71.47 031.32 43.71 43.95 34.66 017.42 24.39 24.37 18.98 054.80 75.33 75.97 69.18 031.68 43.51 43.93 40.08 023.81 32.75 33.01 30.02 052.26 69.91 71.05 65.41 27.0241981951.88 69.40 70.53 64.93 27.2464771439.07 49.73 50.63 45.37 26.1120084443.21 43.21 43.21 51.86 11.10677453.94 64.41 72.13 78.88 20.5186444849.66 64.05 75.26 71.08 30.5935379253.05 53.05 53.05 63.66 064.44 76.95 86.16 94.23 0


55.67 71.80 84.37 79.68 077.74 77.74 77.74 93.29 075.92 85.69 86.23 93.33 075.62 84.52 89.39 90.34 065.13 65.13 65.13 78.15 9.5254893146.09 52.02 52.35 56.66 12.2044244947.26 52.83 55.87 56.46 050.97 50.97 50.97 61.16 9.28571726835.94 40.57 40.83 44.19 038.09 42.57 45.02 45.50 077.54 95.59 96.88 116.15 048.94 60.33 61.15 73.31 038.39 47.32 47.96 57.50 063.12 63.12 63.12 75.75 #DIV/0!48.77 69.12 75.69 89.54 #DIV/0!41.78 59.12 70.32 76.15 #DIV/0!82.17 97.04 97.70 116.99 044.58 52.65 53.01 63.48 14.6598546134.73 41.02 41.30 49.45 088.19 88.19 88.19 105.82 053.46 53.46 53.46 64.15 073.34 85.61 97.39 107.66 041.54 48.49 55.17 60.98 032.03 37.38 42.53 47.01 082.07 104.09 104.69 125.40 038.78 49.18 49.47 59.25 030.16 38.25 38.47 46.08 085.72 85.72 85.72 102.87 037.25 37.25 37.25 44.71 080.46 102.63 114.64 128.24 045.01 57.41 64.12 71.73 20.4326993336.74 46.86 52.35 58.56 19.4291646589.21 89.21 89.21 107.05 9.74265636266.90 66.90 66.90 80.29 9.20681026257.09 57.09 57.09 68.51 8.85412610249.96 49.96 49.96 59.95 8.62030234956.96 70.25 70.47 86.18 13.1944547539.87 49.17 49.33 60.33 14.6788309134.17 42.15 42.28 51.71 14.2782849628.71 35.41 35.52 43.44 13.4187604859.93 73.01 78.66 92.41 16.4558932642.35 51.60 55.59 65.30 16.1313897233.46 40.76 43.91 51.59 15.11473702

28.80 35.09 37.80 44.41 14.9234112331.69 36.08 39.22 46.15 12.9201177239.96 51.01 54.59 64.26 16.8141601761.95 75.77 85.73 97.11 17.956946743.31 52.96 59.93 67.88 16.8040578633.68 41.19 46.61 52.80 16.5341131529.27 35.80 40.51 45.88 16.2847892233.22 42.54 45.07 55.32 11.8796355135.62 48.55 51.11 62.37 15.4951767541.49 59.04 61.86 75.37 16.247369838.10 42.38 46.04 53.41 17.1609390151.17 60.95 65.63 76.13 17.6978504251.14 63.86 68.32 79.49 19.19458292

118.91 118.91 118.91 142.69 11.098391579.52 105.58 103.32 98.48 17.7859633579.26 106.05 107.46 95.81 20.8700119587.60 108.63 117.45 127.18 0

167.28 167.28 167.28 200.74 11.5412946399.72 131.32 130.77 118.81 18.93855551

131.70 173.00 172.72 157.69 0145.49 145.49 145.49 174.58 11.13726709165.39 204.56 210.26 191.72 0147.30 182.18 187.26 170.75 0122.19 151.92 153.05 144.28 17.8572097144.65 179.85 181.18 170.80 17.82838937157.91 196.47 208.60 190.01 21.57543056125.21 159.84 163.71 140.40 20.89951505276.43 340.73 350.30 308.17 0256.21 317.63 337.38 296.55 21.5080674879.67 79.67 79.67 95.6057.60 74.68 69.08 82.0860.47 76.82 78.20 89.5871.60 89.13 96.21 104.57

238.43 238.43 238.43 286.11193.32 423.88 220.21 264.78183.23 453.82 238.34 261.56105.14 105.14 105.14 126.1767.11 80.51 73.03 88.2978.03 88.48 97.43 106.81

137.06 137.06 137.06 164.4775.22 93.83 85.97 103.6889.20 107.17 116.93 129.0385.19 85.19 85.19 102.23

56.77 70.71 64.67 77.7671.57 84.86 93.10 102.1764.99 64.99 64.99 77.99 7.78510879863.42 80.40 81.91 95.25 11.8855697189.31 114.12 116.22 133.26 12.11076578

138.59 138.59 138.59 166.31 7.726985456103.68 131.01 133.50 149.71 0112.44 129.33 132.35 164.40 11.97857104174.76 192.72 197.58 255.53 11.96927091171.71 171.64 176.65 251.06 11.94668487191.38 191.38 191.38 229.65 7.785108798161.93 148.01 152.83 236.77 11.970599574.61 94.30 95.94 111.22 12.0383194797.44 122.27 124.44 141.38 11.91672028

148.25 186.75 190.03 212.39 11.9220072102.89 117.97 120.52 149.28 12.02113697107.73 118.42 121.17 156.30 12.11630155165.83 170.98 175.37 240.60 12.1321623277.55 77.55 77.55 93.06

137.68 137.68 137.68 165.2272.07 81.90 94.27 94.7067.93 67.93 67.93 81.52 11.1223049367.93 67.93 67.93 81.52 11.50916771

108.76 128.54 135.61 144.14 17.44942806105.01 124.11 130.94 139.17 18.06857318113.19 137.33 151.87 159.09 18.85458378116.96 141.91 156.93 164.39 18.92641076119.09 149.82 164.56 173.95 19.483069988.46 111.30 122.24 129.22 19.8422048386.52 116.52 135.45 138.33 22.77300005

113.14 152.38 177.12 180.89 22.4934624199.59 124.45 143.30 137.73 25.0260899799.59 124.45 143.30 137.73 25.0260899788.69 110.56 124.70 118.43 25.46636042

112.34 140.04 157.96 150.01 25.41491323118.26 139.80 156.89 159.02 20.26787929118.26 139.80 156.89 159.02 20.84696155315.38 334.78 353.20 355.59 18.04801903293.63 311.69 328.84 331.06 18.4146061340.22 402.50 456.94 476.29 18.2537682340.22 402.50 456.94 476.29 18.51831556336.28 355.28 378.77 390.65 16.89059689348.74 368.44 392.80 405.12 17.26946787

272.99 308.71 354.38 365.03 17.75797526233.99 264.61 303.76 312.89 18.26534598349.19 378.20 451.85 407.99 24.45644045316.02 370.37 447.07 364.92 30.49182095308.45 308.45 308.45 370.14 10.2082299744.55 44.55 44.55 53.46 033.28 35.88 45.49 56.63 017.58 17.58 17.58 21.09 023.64 25.13 31.16 38.17 015.99 15.99 15.99 19.19 017.56 18.84 23.94 29.76 037.64 37.64 37.64 45.17 034.04 33.38 43.23 53.60 019.16 19.16 19.16 23.00 022.28 22.71 29.36 37.00 016.10 16.10 16.10 19.32 020.51 20.39 26.41 32.96 039.13 39.13 39.13 46.95 039.61 35.35 46.97 58.93 019.65 19.65 19.65 23.58 024.41 21.99 29.24 36.86 019.58 19.58 19.58 23.50 017.60 16.09 21.45 27.26 #DIV/0!

Capitulo 4

Vexp/VprevEHE-08 DVB (2001)

Media 91.80 108.13 111.81 119.87Mediana 67.93 78.70 83.14 93.17

Desviacion Tipica o Estandar 75.12 90.11 92.20 92.47Coef. Variacion COV (%) 81.84 83.33 82.46 77.14

Minimo 10.51 10.63 10.81 8.44(Vexp/Vprev)5% 19.27 19.83 24.00 23.78

Maximo 349.19 453.82 456.94 476.29(Vexp/Vprev)95% 275.57 330.49 335.24 326.52

EHE-08 DVB (2001)x < 0.5 0.54% 0.54% 0.54% 0.54%

MC2010 & CNR (2006)

EC-2 + RILEM (2003)

MC2010 & CNR (2006)

EC-2 + RILEM (2003)

0.5 - 0.67 1.08% 0.54% 0.54% 0.54%0.67 - 0.85 1.08% 0.00% 0.00% 1.08%0.85 - 1.30 23.12% 13.98% 11.83% 3.23%1.30 - 2.0 42.47% 38.17% 33.87% 30.11%

x >= 2 31.72% 46.77% 53.23% 64.52%Total vigas 186 186 186 186

P. Demeritos 221 260 276 315

EHE-08 DVB (2001)x < 0.5 1 1 1 1 1

0.5 - 0.67 2 1 1 1 00.67 - 0.85 2 0 0 2 150.85 - 1.30 43 26 22 6 281.30 - 2.0 79 71 63 56 62

x >= 2 59 87 99 120 61

MC2010 & CNR (2006)

EC-2 + RILEM (2003)

Modelo MARIET AL. (2014)

0 50 100 150 200 250 300 3500

100

200

300

400

500

600R² = 0.733606801783699

MC2010

Vprevisto (KN)

Vexp

erim

enta

l (KN

)

0 50 100 150 200 250 300 3500

100

200

300

400

500

600R² = 0.684628180828939

EC-2 +RILEM (2003)

Vprevisto (KN)

Vexp

erim

enta

l (KN

)

0 50 100 150 200 250 300 3500

100

200

300

400

500

600R² = 0.684628180828939

EC-2 +RILEM (2003)

Vprevisto (KN)

Vexp

erim

enta

l (KN

)

0 50 100 150 200 250 300 3500

100

200

300

400

500

600R² = 0.716887655304048

EHE-08

Vprevisto (KN)

Vexp

erim

enta

l (KN

)

0 50 100 150 200 250 300 3500

100

200

300

400

500

600R² = 0.742571180495612

DVB

Vprevisto (KN)

Vexp

erim

enta

l (KN

)

0 50 100 150 200 250 300 3500

100

200

300

400

500

600R² = 0.742571180495612

DVB

Vprevisto (KN)

Vexp

erim

enta

l (KN

)

INTERPOLACION

f'c μII μIII

20 0.8 0.7

25 0.77 0.6830 0.74 0.6535 0.7 0.6340 0.67 0.645 0.64 0.5850 0.61 0.5555 0.58 0.5360 0.54 0.570 0.48 0.4580 0.41 0.490 0.35 0.35

Capitulo 6

Vexp/VprevEHE-08

Media 1.82 91.80 108.13 111.81Mediana 1.75 67.93 78.70 83.14

0.79 75.12 90.11 92.20Coef. Variacion COV (%) 43.47 81.84 83.33 82.46

Minimo 0.45 10.51 10.63 10.81(Vexp/Vprev)5% 0.76 19.27 19.83 24.00

Maximo 5.03 349.19 453.82 456.94(Vexp/Vprev)95% 3.30 275.57 330.49 335.24

Intervalo Puntuacioni < 0.5 10 x < 0.5 0.60%

Modelo MARI ET AL. (2014)

MC2010 & CNR (2006)

EC-2 + RILEM (2003)

Desviacion Tipica o Estandar


0.5< i < 0.67 5 0.5 - 0.67 0.00%0.67 < i < 0.85 2 0.67 - 0.85 8.98%0.85 < i < 1.30 0 0.85 - 1.30 16.77%1.30 < i < 2.0 1 1.30 - 2.0 37.13%

i> 2 2 x >= 2 36.53%Total vigas 167

P. Demeritos 0

EHE-08x < 0.5 1 1 1 1

0.5 - 0.67 0 2 1 10.67 - 0.85 15 2 0 00.85 - 1.30 28 43 26 221.30 - 2.0 62 79 71 63

x >= 2 61 59 87 99


MC2010 & CNR (2006)

EC-2 + RILEM (2003)

0 50 100 150 200 250 300 3500

100

200

300

400

500

600R² = 0.669748358727352

Modelo Mari et. al (2014)

Vprevisto (KN)

Vexp

erim

enta

l (KN

)

0 50 100 150 200 250 300 3500

100

200

300

400

500

600R² = 0.669748358727352


Vprevisto (KN)

Vexp

erim

enta

l (KN

)

Modelo MARIET

AL. (2014)

MC2010 & CNR (2006)

EC-2 + R

ILEM (2

003)

EHE-0

8

DVB (2001)

0

20

4060

80

100120

140

vigas < 0.50.5 - 0.670.67 - 0.850.85 - 1.301.30 - 2.0x >= 2

fc

32.5 0.72 0.64

x yx yxfc

Limite Superior 30 0.74 0.65Limite Inferior 35 0.7 0.63valor 32.5 0.72 0.64

μII μIII

μII μIII

DVB (2001)119.8793.1792.4777.148.44

23.78476.29326.52

MC2010 & CNR (2006) EHE-08 DVB (2001)0.54% 0.54% 0.54% 0.54%

EC-2 + RILEM (2003)

1.08% 0.54% 0.54% 0.54%1.08% 0.00% 0.00% 1.08%

23.12% 13.98% 11.83% 3.23%42.47% 38.17% 33.87% 30.11%31.72% 46.77% 53.23% 64.52%

186 186 186 186221 260 276 315

DVB (2001)1126

56120

0 50 100 150 200 250 300 3500

100

200

300

400

500

600R² = 0.669748358727352


Vprevisto (KN)

Vexp

erim

enta

l (KN

)

0 50 100 150 200 250 300 3500

100

200

300

400

500

600R² = 0.669748358727352


Vprevisto (KN)

Vexp

erim

enta

l (KN

)

Modelo MARIET

AL. (2014)

MC2010 & CNR (2006)

EC-2 + R

ILEM (2

003)

EHE-0

8

DVB (2001)

0

20

4060

80

100120

140

vigas < 0.50.5 - 0.670.67 - 0.850.85 - 1.301.30 - 2.0x >= 2

x y x y x y0 0 0 0 0 0

200 200 200 230 200 170250 250 250 287.5 250 212.5300 300 300 345 300 255350 350 350 402.5 350 297.5400 400 400 460 400 340

linea negra situacion

Vexp/Vprev EHE-08 DVB (2001)

Media 1.81 2.14 2.20 2.40Mediana 1.71 1.96 2.07 2.29

Desviación Típica o Estándar 0.73 1.05 0.89 0.90Coef. Variación COV (%) 40.15 49.28 40.33 37.64

Mínimo 0.39 0.40 0.40 0.31(Vexp/Vprev)5% 0.96 1.11 1.15 1.30

Máximo 4.64 8.73 6.52 5.50(Vexp/Vprev)95% 3.04 3.34 3.65 3.98

MC2010 & CNR (2006)

EC-2 + RILEM (2003)

Minimo Media Maximo

bw (mm) 55 153.801075 153.801075 153.801075 153.801075268817d (mm) 180 180 180 180 180a/d 1.00418605 1.00418605 1.00418605 1.00418605 1.00418604651163fc cubic (MPa) 19.78 19.78 19.78 19.78 19.78ρ (%) 0.37 0.37 0.37 0.37 0.37Es (GPa) 200.00 200.00 200.00 200.00 200.00ρ Er (MPa)ρw (%) 0.000 0.000 0.000 0.000 0.000Ew (GPa) 200.00 200.00 200.00 200.00 200.00ρw Ert (Mpa)Vu (KN) 14.8665 14.8665 14.8665 14.8665 14.8665

Desviacion Tipica

Coeficiente de Variacion (%)

base de datos.xlsx

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